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Finding the Fourth Proportional to 346,564.30, 519,773.55 and 146,891.20

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Solution

The fourth proportional to 346,564.30, 519,773.55 and 146,891.20 is: 220,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,564.30 : 519,773.55 = 146,891.20 : x
  2. Step 2: Convert to fraction form
    346,564.30/519,773.55 = 146,891.20/x
  3. Step 3: Cross multiply
    346,564.30x = 519,773.55 × 146,891.20
  4. Step 4: Simplify right side
    346,564.30x = 76,350,160,487.76
  5. Step 5: Solve for x
    x = 76,350,160,487.76/346,564.30
  6. Step 6: Final answer
    x = 220,305.90

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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.