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Finding the Fourth Proportional to 506,934.23, 699,398.42 and 292,068.95

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Solution

The fourth proportional to 506,934.23, 699,398.42 and 292,068.95 is: 402,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,934.23 : 699,398.42 = 292,068.95 : x
  2. Step 2: Convert to fraction form
    506,934.23/699,398.42 = 292,068.95/x
  3. Step 3: Cross multiply
    506,934.23x = 699,398.42 × 292,068.95
  4. Step 4: Simplify right side
    506,934.23x = 204,272,560,700.71
  5. Step 5: Solve for x
    x = 204,272,560,700.71/506,934.23
  6. Step 6: Final answer
    x = 402,956.73

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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.