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Finding the Fourth Proportional to 413,521.92, 619,900.80 and 160,968.96

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Solution

The fourth proportional to 413,521.92, 619,900.80 and 160,968.96 is: 241,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,521.92 : 619,900.80 = 160,968.96 : x
  2. Step 2: Convert to fraction form
    413,521.92/619,900.80 = 160,968.96/x
  3. Step 3: Cross multiply
    413,521.92x = 619,900.80 × 160,968.96
  4. Step 4: Simplify right side
    413,521.92x = 99,784,787,079.17
  5. Step 5: Solve for x
    x = 99,784,787,079.17/413,521.92
  6. Step 6: Final answer
    x = 241,304.71

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1.5x scale

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.