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Finding the Fourth Proportional to 648,055.80, 970,382.70 and 457,487.10

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Solution

The fourth proportional to 648,055.80, 970,382.70 and 457,487.10 is: 685,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,055.80 : 970,382.70 = 457,487.10 : x
  2. Step 2: Convert to fraction form
    648,055.80/970,382.70 = 457,487.10/x
  3. Step 3: Cross multiply
    648,055.80x = 970,382.70 × 457,487.10
  4. Step 4: Simplify right side
    648,055.80x = 443,937,567,313.17
  5. Step 5: Solve for x
    x = 443,937,567,313.17/648,055.80
  6. Step 6: Final answer
    x = 685,029.85

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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.