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Finding the Fourth Proportional to 585,046.30, 877,569.45 and 496,472.80

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Solution

The fourth proportional to 585,046.30, 877,569.45 and 496,472.80 is: 744,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,046.30 : 877,569.45 = 496,472.80 : x
  2. Step 2: Convert to fraction form
    585,046.30/877,569.45 = 496,472.80/x
  3. Step 3: Cross multiply
    585,046.30x = 877,569.45 × 496,472.80
  4. Step 4: Simplify right side
    585,046.30x = 435,689,362,035.96
  5. Step 5: Solve for x
    x = 435,689,362,035.96/585,046.30
  6. Step 6: Final answer
    x = 744,709.20

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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.