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Finding the Fourth Proportional to 389,807.31, 584,710.98 and 94,319.31

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Solution

The fourth proportional to 389,807.31, 584,710.98 and 94,319.31 is: 141,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,807.31 : 584,710.98 = 94,319.31 : x
  2. Step 2: Convert to fraction form
    389,807.31/584,710.98 = 94,319.31/x
  3. Step 3: Cross multiply
    389,807.31x = 584,710.98 × 94,319.31
  4. Step 4: Simplify right side
    389,807.31x = 55,149,536,183.02
  5. Step 5: Solve for x
    x = 55,149,536,183.02/389,807.31
  6. Step 6: Final answer
    x = 141,478.97

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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.