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Finding the Fourth Proportional to 417,190.60, 625,810.80 and 117,696.74

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Solution

The fourth proportional to 417,190.60, 625,810.80 and 117,696.74 is: 176,552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,190.60 : 625,810.80 = 117,696.74 : x
  2. Step 2: Convert to fraction form
    417,190.60/625,810.80 = 117,696.74/x
  3. Step 3: Cross multiply
    417,190.60x = 625,810.80 × 117,696.74
  4. Step 4: Simplify right side
    417,190.60x = 73,655,891,016.79
  5. Step 5: Solve for x
    x = 73,655,891,016.79/417,190.60
  6. Step 6: Final answer
    x = 176,552.14

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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.