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Finding the Fourth Proportional to 457,680.80, 686,521.20 and 411,024.80

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Solution

The fourth proportional to 457,680.80, 686,521.20 and 411,024.80 is: 616,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,680.80 : 686,521.20 = 411,024.80 : x
  2. Step 2: Convert to fraction form
    457,680.80/686,521.20 = 411,024.80/x
  3. Step 3: Cross multiply
    457,680.80x = 686,521.20 × 411,024.80
  4. Step 4: Simplify right side
    457,680.80x = 282,177,238,925.76
  5. Step 5: Solve for x
    x = 282,177,238,925.76/457,680.80
  6. Step 6: Final answer
    x = 616,537.20

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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.