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Finding the Fourth Proportional to 457,851.60, 686,777.40 and 233,902.80

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Solution

The fourth proportional to 457,851.60, 686,777.40 and 233,902.80 is: 350,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,851.60 : 686,777.40 = 233,902.80 : x
  2. Step 2: Convert to fraction form
    457,851.60/686,777.40 = 233,902.80/x
  3. Step 3: Cross multiply
    457,851.60x = 686,777.40 × 233,902.80
  4. Step 4: Simplify right side
    457,851.60x = 160,639,156,836.72
  5. Step 5: Solve for x
    x = 160,639,156,836.72/457,851.60
  6. Step 6: Final answer
    x = 350,854.20

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Similar ratio
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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.