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Finding the Fourth Proportional to 457,902.16, 686,926.92 and 221,262.24

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Solution

The fourth proportional to 457,902.16, 686,926.92 and 221,262.24 is: 331,928.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,902.16 : 686,926.92 = 221,262.24 : x
  2. Step 2: Convert to fraction form
    457,902.16/686,926.92 = 221,262.24/x
  3. Step 3: Cross multiply
    457,902.16x = 686,926.92 × 221,262.24
  4. Step 4: Simplify right side
    457,902.16x = 151,990,989,035.50
  5. Step 5: Solve for x
    x = 151,990,989,035.50/457,902.16
  6. Step 6: Final answer
    x = 331,928.96

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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.