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Finding the Fourth Proportional to 340,356.13, 510,610.34 and 103,717.33

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Solution

The fourth proportional to 340,356.13, 510,610.34 and 103,717.33 is: 155,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,356.13 : 510,610.34 = 103,717.33 : x
  2. Step 2: Convert to fraction form
    340,356.13/510,610.34 = 103,717.33/x
  3. Step 3: Cross multiply
    340,356.13x = 510,610.34 × 103,717.33
  4. Step 4: Simplify right side
    340,356.13x = 52,959,140,616.61
  5. Step 5: Solve for x
    x = 52,959,140,616.61/340,356.13
  6. Step 6: Final answer
    x = 155,599.20

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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.