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Finding the Fourth Proportional to 384,737.31, 577,259.46 and 160,252.56

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Solution

The fourth proportional to 384,737.31, 577,259.46 and 160,252.56 is: 240,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,737.31 : 577,259.46 = 160,252.56 : x
  2. Step 2: Convert to fraction form
    384,737.31/577,259.46 = 160,252.56/x
  3. Step 3: Cross multiply
    384,737.31x = 577,259.46 × 160,252.56
  4. Step 4: Simplify right side
    384,737.31x = 92,507,306,249.22
  5. Step 5: Solve for x
    x = 92,507,306,249.22/384,737.31
  6. Step 6: Final answer
    x = 240,442.77

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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.