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Finding the Fourth Proportional to 457,333.80, 686,000.70 and 141,822.60

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Solution

The fourth proportional to 457,333.80, 686,000.70 and 141,822.60 is: 212,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,333.80 : 686,000.70 = 141,822.60 : x
  2. Step 2: Convert to fraction form
    457,333.80/686,000.70 = 141,822.60/x
  3. Step 3: Cross multiply
    457,333.80x = 686,000.70 × 141,822.60
  4. Step 4: Simplify right side
    457,333.80x = 97,290,402,875.82
  5. Step 5: Solve for x
    x = 97,290,402,875.82/457,333.80
  6. Step 6: Final answer
    x = 212,733.90

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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.