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Finding the Fourth Proportional to 340,617.54, 510,988.29 and 115,966.47

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Solution

The fourth proportional to 340,617.54, 510,988.29 and 115,966.47 is: 173,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,617.54 : 510,988.29 = 115,966.47 : x
  2. Step 2: Convert to fraction form
    340,617.54/510,988.29 = 115,966.47/x
  3. Step 3: Cross multiply
    340,617.54x = 510,988.29 × 115,966.47
  4. Step 4: Simplify right side
    340,617.54x = 59,257,508,202.64
  5. Step 5: Solve for x
    x = 59,257,508,202.64/340,617.54
  6. Step 6: Final answer
    x = 173,970.81

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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.