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Finding the Fourth Proportional to 346,838.96, 520,251.05 and 159,850.46

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Solution

The fourth proportional to 346,838.96, 520,251.05 and 159,850.46 is: 239,772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,838.96 : 520,251.05 = 159,850.46 : x
  2. Step 2: Convert to fraction form
    346,838.96/520,251.05 = 159,850.46/x
  3. Step 3: Cross multiply
    346,838.96x = 520,251.05 × 159,850.46
  4. Step 4: Simplify right side
    346,838.96x = 83,162,371,358.24
  5. Step 5: Solve for x
    x = 83,162,371,358.24/346,838.96
  6. Step 6: Final answer
    x = 239,772.29

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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.