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Finding the Fourth Proportional to 304,744.32, 457,087.32 and 105,037.20

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Solution

The fourth proportional to 304,744.32, 457,087.32 and 105,037.20 is: 157,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,744.32 : 457,087.32 = 105,037.20 : x
  2. Step 2: Convert to fraction form
    304,744.32/457,087.32 = 105,037.20/x
  3. Step 3: Cross multiply
    304,744.32x = 457,087.32 × 105,037.20
  4. Step 4: Simplify right side
    304,744.32x = 48,011,172,248.30
  5. Step 5: Solve for x
    x = 48,011,172,248.30/304,744.32
  6. Step 6: Final answer
    x = 157,545.75

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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.