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Finding the Fourth Proportional to 416,398.60, 574,629.42 and 225,411.94

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Solution

The fourth proportional to 416,398.60, 574,629.42 and 225,411.94 is: 311,068.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,398.60 : 574,629.42 = 225,411.94 : x
  2. Step 2: Convert to fraction form
    416,398.60/574,629.42 = 225,411.94/x
  3. Step 3: Cross multiply
    416,398.60x = 574,629.42 × 225,411.94
  4. Step 4: Simplify right side
    416,398.60x = 129,528,332,343.28
  5. Step 5: Solve for x
    x = 129,528,332,343.28/416,398.60
  6. Step 6: Final answer
    x = 311,068.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.