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Finding the Fourth Proportional to 515,443.61, 772,854.57 and 231,082.65

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Solution

The fourth proportional to 515,443.61, 772,854.57 and 231,082.65 is: 346,484.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,443.61 : 772,854.57 = 231,082.65 : x
  2. Step 2: Convert to fraction form
    515,443.61/772,854.57 = 231,082.65/x
  3. Step 3: Cross multiply
    515,443.61x = 772,854.57 × 231,082.65
  4. Step 4: Simplify right side
    515,443.61x = 178,593,282,100.21
  5. Step 5: Solve for x
    x = 178,593,282,100.21/515,443.61
  6. Step 6: Final answer
    x = 346,484.62

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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.