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Finding the Fourth Proportional to 457,764.40, 685,264.20 and 402,468.40

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Solution

The fourth proportional to 457,764.40, 685,264.20 and 402,468.40 is: 602,487.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,764.40 : 685,264.20 = 402,468.40 : x
  2. Step 2: Convert to fraction form
    457,764.40/685,264.20 = 402,468.40/x
  3. Step 3: Cross multiply
    457,764.40x = 685,264.20 × 402,468.40
  4. Step 4: Simplify right side
    457,764.40x = 275,797,186,151.28
  5. Step 5: Solve for x
    x = 275,797,186,151.28/457,764.40
  6. Step 6: Final answer
    x = 602,487.19

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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.