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Finding the Fourth Proportional to 417,866.40, 626,564.25 and 133,490.16

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Solution

The fourth proportional to 417,866.40, 626,564.25 and 133,490.16 is: 200,160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,866.40 : 626,564.25 = 133,490.16 : x
  2. Step 2: Convert to fraction form
    417,866.40/626,564.25 = 133,490.16/x
  3. Step 3: Cross multiply
    417,866.40x = 626,564.25 × 133,490.16
  4. Step 4: Simplify right side
    417,866.40x = 83,640,161,982.78
  5. Step 5: Solve for x
    x = 83,640,161,982.78/417,866.40
  6. Step 6: Final answer
    x = 200,160.06

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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.