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Finding the Fourth Proportional to 582,281.01, 803,863.20 and 408,385.25

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Solution

The fourth proportional to 582,281.01, 803,863.20 and 408,385.25 is: 563,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,281.01 : 803,863.20 = 408,385.25 : x
  2. Step 2: Convert to fraction form
    582,281.01/803,863.20 = 408,385.25/x
  3. Step 3: Cross multiply
    582,281.01x = 803,863.20 × 408,385.25
  4. Step 4: Simplify right side
    582,281.01x = 328,285,874,424.42
  5. Step 5: Solve for x
    x = 328,285,874,424.42/582,281.01
  6. Step 6: Final answer
    x = 563,792.86

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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.