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Finding the Fourth Proportional to 340,770.47, 510,829.88 and 127,480.46

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Solution

The fourth proportional to 340,770.47, 510,829.88 and 127,480.46 is: 191,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,770.47 : 510,829.88 = 127,480.46 : x
  2. Step 2: Convert to fraction form
    340,770.47/510,829.88 = 127,480.46/x
  3. Step 3: Cross multiply
    340,770.47x = 510,829.88 × 127,480.46
  4. Step 4: Simplify right side
    340,770.47x = 65,120,824,892.59
  5. Step 5: Solve for x
    x = 65,120,824,892.59/340,770.47
  6. Step 6: Final answer
    x = 191,098.79

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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.