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Finding the Fourth Proportional to 392,145, 588,217.56 and 96,657

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Solution

The fourth proportional to 392,145, 588,217.56 and 96,657 is: 144,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,145 : 588,217.56 = 96,657 : x
  2. Step 2: Convert to fraction form
    392,145/588,217.56 = 96,657/x
  3. Step 3: Cross multiply
    392,145x = 588,217.56 × 96,657
  4. Step 4: Simplify right side
    392,145x = 56,855,344,696.92
  5. Step 5: Solve for x
    x = 56,855,344,696.92/392,145
  6. Step 6: Final answer
    x = 144,985.51

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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.