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Finding the Fourth Proportional to 304,807.11, 457,505.91 and 147,146.28

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Solution

The fourth proportional to 304,807.11, 457,505.91 and 147,146.28 is: 220,861.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,807.11 : 457,505.91 = 147,146.28 : x
  2. Step 2: Convert to fraction form
    304,807.11/457,505.91 = 147,146.28/x
  3. Step 3: Cross multiply
    304,807.11x = 457,505.91 × 147,146.28
  4. Step 4: Simplify right side
    304,807.11x = 67,320,292,734.51
  5. Step 5: Solve for x
    x = 67,320,292,734.51/304,807.11
  6. Step 6: Final answer
    x = 220,861.95

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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.