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Finding the Fourth Proportional to 385,451.59, 578,174.13 and 301,282.57

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Solution

The fourth proportional to 385,451.59, 578,174.13 and 301,282.57 is: 451,921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,451.59 : 578,174.13 = 301,282.57 : x
  2. Step 2: Convert to fraction form
    385,451.59/578,174.13 = 301,282.57/x
  3. Step 3: Cross multiply
    385,451.59x = 578,174.13 × 301,282.57
  4. Step 4: Simplify right side
    385,451.59x = 174,193,787,793.91
  5. Step 5: Solve for x
    x = 174,193,787,793.91/385,451.59
  6. Step 6: Final answer
    x = 451,921.31

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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.