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Finding the Fourth Proportional to 340,781.47, 511,264.24 and 104,117.69

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Solution

The fourth proportional to 340,781.47, 511,264.24 and 104,117.69 is: 156,204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,781.47 : 511,264.24 = 104,117.69 : x
  2. Step 2: Convert to fraction form
    340,781.47/511,264.24 = 104,117.69/x
  3. Step 3: Cross multiply
    340,781.47x = 511,264.24 × 104,117.69
  4. Step 4: Simplify right side
    340,781.47x = 53,231,652,666.27
  5. Step 5: Solve for x
    x = 53,231,652,666.27/340,781.47
  6. Step 6: Final answer
    x = 156,204.66

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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.