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Finding the Fourth Proportional to 553,014.23, 762,752.17 and 417,053.90

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Solution

The fourth proportional to 553,014.23, 762,752.17 and 417,053.90 is: 575,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,014.23 : 762,752.17 = 417,053.90 : x
  2. Step 2: Convert to fraction form
    553,014.23/762,752.17 = 417,053.90/x
  3. Step 3: Cross multiply
    553,014.23x = 762,752.17 × 417,053.90
  4. Step 4: Simplify right side
    553,014.23x = 318,108,769,660.16
  5. Step 5: Solve for x
    x = 318,108,769,660.16/553,014.23
  6. Step 6: Final answer
    x = 575,227.10

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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.