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Finding the Fourth Proportional to 415,428.40, 623,142.60 and 257,834.80

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Solution

The fourth proportional to 415,428.40, 623,142.60 and 257,834.80 is: 386,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,428.40 : 623,142.60 = 257,834.80 : x
  2. Step 2: Convert to fraction form
    415,428.40/623,142.60 = 257,834.80/x
  3. Step 3: Cross multiply
    415,428.40x = 623,142.60 × 257,834.80
  4. Step 4: Simplify right side
    415,428.40x = 160,667,847,642.48
  5. Step 5: Solve for x
    x = 160,667,847,642.48/415,428.40
  6. Step 6: Final answer
    x = 386,752.20

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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.