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Finding the Fourth Proportional to 457,729.80, 686,594.70 and 289,768.20

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Solution

The fourth proportional to 457,729.80, 686,594.70 and 289,768.20 is: 434,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,729.80 : 686,594.70 = 289,768.20 : x
  2. Step 2: Convert to fraction form
    457,729.80/686,594.70 = 289,768.20/x
  3. Step 3: Cross multiply
    457,729.80x = 686,594.70 × 289,768.20
  4. Step 4: Simplify right side
    457,729.80x = 198,953,310,348.54
  5. Step 5: Solve for x
    x = 198,953,310,348.54/457,729.80
  6. Step 6: Final answer
    x = 434,652.30

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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.