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Finding the Fourth Proportional to 283,794.20, 425,885.70 and 157,434.20

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Solution

The fourth proportional to 283,794.20, 425,885.70 and 157,434.20 is: 236,259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,794.20 : 425,885.70 = 157,434.20 : x
  2. Step 2: Convert to fraction form
    283,794.20/425,885.70 = 157,434.20/x
  3. Step 3: Cross multiply
    283,794.20x = 425,885.70 × 157,434.20
  4. Step 4: Simplify right side
    283,794.20x = 67,048,974,470.94
  5. Step 5: Solve for x
    x = 67,048,974,470.94/283,794.20
  6. Step 6: Final answer
    x = 236,259.14

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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.