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Finding the Fourth Proportional to 532,104.42, 797,463.54 and 216,192

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Solution

The fourth proportional to 532,104.42, 797,463.54 and 216,192 is: 324,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,104.42 : 797,463.54 = 216,192 : x
  2. Step 2: Convert to fraction form
    532,104.42/797,463.54 = 216,192/x
  3. Step 3: Cross multiply
    532,104.42x = 797,463.54 × 216,192
  4. Step 4: Simplify right side
    532,104.42x = 172,405,237,639.68
  5. Step 5: Solve for x
    x = 172,405,237,639.68/532,104.42
  6. Step 6: Final answer
    x = 324,006.40

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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.