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Finding the Fourth Proportional to 338,686.68, 508,049.46 and 102,004.68

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Solution

The fourth proportional to 338,686.68, 508,049.46 and 102,004.68 is: 153,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,686.68 : 508,049.46 = 102,004.68 : x
  2. Step 2: Convert to fraction form
    338,686.68/508,049.46 = 102,004.68/x
  3. Step 3: Cross multiply
    338,686.68x = 508,049.46 × 102,004.68
  4. Step 4: Simplify right side
    338,686.68x = 51,823,422,591.47
  5. Step 5: Solve for x
    x = 51,823,422,591.47/338,686.68
  6. Step 6: Final answer
    x = 153,012.87

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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.