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Finding the Fourth Proportional to 304,983.96, 457,320.42 and 127,443.30

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Solution

The fourth proportional to 304,983.96, 457,320.42 and 127,443.30 is: 191,099.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,983.96 : 457,320.42 = 127,443.30 : x
  2. Step 2: Convert to fraction form
    304,983.96/457,320.42 = 127,443.30/x
  3. Step 3: Cross multiply
    304,983.96x = 457,320.42 × 127,443.30
  4. Step 4: Simplify right side
    304,983.96x = 58,282,423,482.19
  5. Step 5: Solve for x
    x = 58,282,423,482.19/304,983.96
  6. Step 6: Final answer
    x = 191,099.96

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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.