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Finding the Fourth Proportional to 584,494.42, 806,345.97 and 342,654.58

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Solution

The fourth proportional to 584,494.42, 806,345.97 and 342,654.58 is: 472,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,494.42 : 806,345.97 = 342,654.58 : x
  2. Step 2: Convert to fraction form
    584,494.42/806,345.97 = 342,654.58/x
  3. Step 3: Cross multiply
    584,494.42x = 806,345.97 × 342,654.58
  4. Step 4: Simplify right side
    584,494.42x = 276,298,139,685.04
  5. Step 5: Solve for x
    x = 276,298,139,685.04/584,494.42
  6. Step 6: Final answer
    x = 472,713.05

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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.