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Finding the Fourth Proportional to 416,354.50, 574,569.48 and 225,369.46

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Solution

The fourth proportional to 416,354.50, 574,569.48 and 225,369.46 is: 311,010.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,354.50 : 574,569.48 = 225,369.46 : x
  2. Step 2: Convert to fraction form
    416,354.50/574,569.48 = 225,369.46/x
  3. Step 3: Cross multiply
    416,354.50x = 574,569.48 × 225,369.46
  4. Step 4: Simplify right side
    416,354.50x = 129,490,413,440.08
  5. Step 5: Solve for x
    x = 129,490,413,440.08/416,354.50
  6. Step 6: Final answer
    x = 311,010.00

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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.