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Finding the Fourth Proportional to 304,839.38, 457,303.63 and 146,937.98

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Solution

The fourth proportional to 304,839.38, 457,303.63 and 146,937.98 is: 220,428.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,839.38 : 457,303.63 = 146,937.98 : x
  2. Step 2: Convert to fraction form
    304,839.38/457,303.63 = 146,937.98/x
  3. Step 3: Cross multiply
    304,839.38x = 457,303.63 × 146,937.98
  4. Step 4: Simplify right side
    304,839.38x = 67,195,272,414.78
  5. Step 5: Solve for x
    x = 67,195,272,414.78/304,839.38
  6. Step 6: Final answer
    x = 220,428.45

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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.