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Finding the Fourth Proportional to 309,545.59, 464,318.42 and 204,339.96

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Solution

The fourth proportional to 309,545.59, 464,318.42 and 204,339.96 is: 306,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,545.59 : 464,318.42 = 204,339.96 : x
  2. Step 2: Convert to fraction form
    309,545.59/464,318.42 = 204,339.96/x
  3. Step 3: Cross multiply
    309,545.59x = 464,318.42 × 204,339.96
  4. Step 4: Simplify right side
    309,545.59x = 94,878,807,370.06
  5. Step 5: Solve for x
    x = 94,878,807,370.06/309,545.59
  6. Step 6: Final answer
    x = 306,509.96

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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.