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Finding the Fourth Proportional to 648,045.68, 972,068.51 and 648,045.68

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Solution

The fourth proportional to 648,045.68, 972,068.51 and 648,045.68 is: 972,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,045.68 : 972,068.51 = 648,045.68 : x
  2. Step 2: Convert to fraction form
    648,045.68/972,068.51 = 648,045.68/x
  3. Step 3: Cross multiply
    648,045.68x = 972,068.51 × 648,045.68
  4. Step 4: Simplify right side
    648,045.68x = 629,944,795,329.31
  5. Step 5: Solve for x
    x = 629,944,795,329.31/648,045.68
  6. Step 6: Final answer
    x = 972,068.51

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.