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Finding the Fourth Proportional to 509,149.34, 763,822.35 and 193,581.71

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Solution

The fourth proportional to 509,149.34, 763,822.35 and 193,581.71 is: 290,409.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,149.34 : 763,822.35 = 193,581.71 : x
  2. Step 2: Convert to fraction form
    509,149.34/763,822.35 = 193,581.71/x
  3. Step 3: Cross multiply
    509,149.34x = 763,822.35 × 193,581.71
  4. Step 4: Simplify right side
    509,149.34x = 147,862,033,818.42
  5. Step 5: Solve for x
    x = 147,862,033,818.42/509,149.34
  6. Step 6: Final answer
    x = 290,409.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.