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Finding the Fourth Proportional to 585,498.38, 807,987.76 and 317,226.38

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Solution

The fourth proportional to 585,498.38, 807,987.76 and 317,226.38 is: 437,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,498.38 : 807,987.76 = 317,226.38 : x
  2. Step 2: Convert to fraction form
    585,498.38/807,987.76 = 317,226.38/x
  3. Step 3: Cross multiply
    585,498.38x = 807,987.76 × 317,226.38
  4. Step 4: Simplify right side
    585,498.38x = 256,315,027,356.10
  5. Step 5: Solve for x
    x = 256,315,027,356.10/585,498.38
  6. Step 6: Final answer
    x = 437,772.40

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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.