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Finding the Fourth Proportional to 532,134.42, 797,508.54 and 216,222

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Solution

The fourth proportional to 532,134.42, 797,508.54 and 216,222 is: 324,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,134.42 : 797,508.54 = 216,222 : x
  2. Step 2: Convert to fraction form
    532,134.42/797,508.54 = 216,222/x
  3. Step 3: Cross multiply
    532,134.42x = 797,508.54 × 216,222
  4. Step 4: Simplify right side
    532,134.42x = 172,438,891,535.88
  5. Step 5: Solve for x
    x = 172,438,891,535.88/532,134.42
  6. Step 6: Final answer
    x = 324,051.38

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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.