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Finding the Fourth Proportional to 584,493.92, 806,345.28 and 342,654.08

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Solution

The fourth proportional to 584,493.92, 806,345.28 and 342,654.08 is: 472,712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,493.92 : 806,345.28 = 342,654.08 : x
  2. Step 2: Convert to fraction form
    584,493.92/806,345.28 = 342,654.08/x
  3. Step 3: Cross multiply
    584,493.92x = 806,345.28 × 342,654.08
  4. Step 4: Simplify right side
    584,493.92x = 276,297,500,080.74
  5. Step 5: Solve for x
    x = 276,297,500,080.74/584,493.92
  6. Step 6: Final answer
    x = 472,712.36

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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.