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Finding the Fourth Proportional to 457,924.16, 686,808.48 and 120,968.48

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Solution

The fourth proportional to 457,924.16, 686,808.48 and 120,968.48 is: 181,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,924.16 : 686,808.48 = 120,968.48 : x
  2. Step 2: Convert to fraction form
    457,924.16/686,808.48 = 120,968.48/x
  3. Step 3: Cross multiply
    457,924.16x = 686,808.48 × 120,968.48
  4. Step 4: Simplify right side
    457,924.16x = 83,082,177,876.71
  5. Step 5: Solve for x
    x = 83,082,177,876.71/457,924.16
  6. Step 6: Final answer
    x = 181,432.18

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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.