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Finding the Fourth Proportional to 384,887.56, 577,854.92 and 216,526.38

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Solution

The fourth proportional to 384,887.56, 577,854.92 and 216,526.38 is: 325,084.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,887.56 : 577,854.92 = 216,526.38 : x
  2. Step 2: Convert to fraction form
    384,887.56/577,854.92 = 216,526.38/x
  3. Step 3: Cross multiply
    384,887.56x = 577,854.92 × 216,526.38
  4. Step 4: Simplify right side
    384,887.56x = 125,120,833,992.79
  5. Step 5: Solve for x
    x = 125,120,833,992.79/384,887.56
  6. Step 6: Final answer
    x = 325,084.12

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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.