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Finding the Fourth Proportional to 346,414.80, 519,233.40 and 146,701.20

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Solution

The fourth proportional to 346,414.80, 519,233.40 and 146,701.20 is: 219,887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,414.80 : 519,233.40 = 146,701.20 : x
  2. Step 2: Convert to fraction form
    346,414.80/519,233.40 = 146,701.20/x
  3. Step 3: Cross multiply
    346,414.80x = 519,233.40 × 146,701.20
  4. Step 4: Simplify right side
    346,414.80x = 76,172,162,860.08
  5. Step 5: Solve for x
    x = 76,172,162,860.08/346,414.80
  6. Step 6: Final answer
    x = 219,887.15

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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.