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Finding the Fourth Proportional to 338,746.47, 508,316.54 and 151,757.97

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Solution

The fourth proportional to 338,746.47, 508,316.54 and 151,757.97 is: 227,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,746.47 : 508,316.54 = 151,757.97 : x
  2. Step 2: Convert to fraction form
    338,746.47/508,316.54 = 151,757.97/x
  3. Step 3: Cross multiply
    338,746.47x = 508,316.54 × 151,757.97
  4. Step 4: Simplify right side
    338,746.47x = 77,141,085,469.03
  5. Step 5: Solve for x
    x = 77,141,085,469.03/338,746.47
  6. Step 6: Final answer
    x = 227,725.13

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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.