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Finding the Fourth Proportional to 338,884.66, 508,330.63 and 102,229.39

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Solution

The fourth proportional to 338,884.66, 508,330.63 and 102,229.39 is: 153,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,884.66 : 508,330.63 = 102,229.39 : x
  2. Step 2: Convert to fraction form
    338,884.66/508,330.63 = 102,229.39/x
  3. Step 3: Cross multiply
    338,884.66x = 508,330.63 × 102,229.39
  4. Step 4: Simplify right side
    338,884.66x = 51,966,327,681.56
  5. Step 5: Solve for x
    x = 51,966,327,681.56/338,884.66
  6. Step 6: Final answer
    x = 153,345.18

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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.