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Finding the Fourth Proportional to 384,891.32, 577,358.04 and 174,545.12

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Solution

The fourth proportional to 384,891.32, 577,358.04 and 174,545.12 is: 261,827.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,891.32 : 577,358.04 = 174,545.12 : x
  2. Step 2: Convert to fraction form
    384,891.32/577,358.04 = 174,545.12/x
  3. Step 3: Cross multiply
    384,891.32x = 577,358.04 × 174,545.12
  4. Step 4: Simplify right side
    384,891.32x = 100,775,028,374.77
  5. Step 5: Solve for x
    x = 100,775,028,374.77/384,891.32
  6. Step 6: Final answer
    x = 261,827.23

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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.