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Finding the Fourth Proportional to 391,029.80, 586,253.10 and 166,206.20

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Solution

The fourth proportional to 391,029.80, 586,253.10 and 166,206.20 is: 249,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,029.80 : 586,253.10 = 166,206.20 : x
  2. Step 2: Convert to fraction form
    391,029.80/586,253.10 = 166,206.20/x
  3. Step 3: Cross multiply
    391,029.80x = 586,253.10 × 166,206.20
  4. Step 4: Simplify right side
    391,029.80x = 97,438,899,989.22
  5. Step 5: Solve for x
    x = 97,438,899,989.22/391,029.80
  6. Step 6: Final answer
    x = 249,185.36

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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.