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Finding the Fourth Proportional to 417,712.55, 626,867.35 and 177,994.33

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Solution

The fourth proportional to 417,712.55, 626,867.35 and 177,994.33 is: 267,118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,712.55 : 626,867.35 = 177,994.33 : x
  2. Step 2: Convert to fraction form
    417,712.55/626,867.35 = 177,994.33/x
  3. Step 3: Cross multiply
    417,712.55x = 626,867.35 × 177,994.33
  4. Step 4: Simplify right side
    417,712.55x = 111,578,832,951.19
  5. Step 5: Solve for x
    x = 111,578,832,951.19/417,712.55
  6. Step 6: Final answer
    x = 267,118.70

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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.