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Finding the Fourth Proportional to 457,954.60, 686,931.90 and 209,122.60

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Solution

The fourth proportional to 457,954.60, 686,931.90 and 209,122.60 is: 313,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,954.60 : 686,931.90 = 209,122.60 : x
  2. Step 2: Convert to fraction form
    457,954.60/686,931.90 = 209,122.60/x
  3. Step 3: Cross multiply
    457,954.60x = 686,931.90 × 209,122.60
  4. Step 4: Simplify right side
    457,954.60x = 143,652,984,950.94
  5. Step 5: Solve for x
    x = 143,652,984,950.94/457,954.60
  6. Step 6: Final answer
    x = 313,683.90

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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.