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Finding the Fourth Proportional to 654,047.70, 917,766.30 and 654,047.70

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Solution

The fourth proportional to 654,047.70, 917,766.30 and 654,047.70 is: 917,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,047.70 : 917,766.30 = 654,047.70 : x
  2. Step 2: Convert to fraction form
    654,047.70/917,766.30 = 654,047.70/x
  3. Step 3: Cross multiply
    654,047.70x = 917,766.30 × 654,047.70
  4. Step 4: Simplify right side
    654,047.70x = 600,262,937,652.51
  5. Step 5: Solve for x
    x = 600,262,937,652.51/654,047.70
  6. Step 6: Final answer
    x = 917,766.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.