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Finding the Fourth Proportional to 304,206.70, 456,387.81 and 117,167.98

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Solution

The fourth proportional to 304,206.70, 456,387.81 and 117,167.98 is: 175,781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,206.70 : 456,387.81 = 117,167.98 : x
  2. Step 2: Convert to fraction form
    304,206.70/456,387.81 = 117,167.98/x
  3. Step 3: Cross multiply
    304,206.70x = 456,387.81 × 117,167.98
  4. Step 4: Simplify right side
    304,206.70x = 53,474,037,794.32
  5. Step 5: Solve for x
    x = 53,474,037,794.32/304,206.70
  6. Step 6: Final answer
    x = 175,781.92

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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.