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Finding the Fourth Proportional to 346,231.71, 517,981.10 and 262,233.90

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Solution

The fourth proportional to 346,231.71, 517,981.10 and 262,233.90 is: 392,315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,231.71 : 517,981.10 = 262,233.90 : x
  2. Step 2: Convert to fraction form
    346,231.71/517,981.10 = 262,233.90/x
  3. Step 3: Cross multiply
    346,231.71x = 517,981.10 × 262,233.90
  4. Step 4: Simplify right side
    346,231.71x = 135,832,202,668.12
  5. Step 5: Solve for x
    x = 135,832,202,668.12/346,231.71
  6. Step 6: Final answer
    x = 392,315.89

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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.