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Finding the Fourth Proportional to 410,221.80, 615,303.50 and 110,719.44

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Solution

The fourth proportional to 410,221.80, 615,303.50 and 110,719.44 is: 166,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,221.80 : 615,303.50 = 110,719.44 : x
  2. Step 2: Convert to fraction form
    410,221.80/615,303.50 = 110,719.44/x
  3. Step 3: Cross multiply
    410,221.80x = 615,303.50 × 110,719.44
  4. Step 4: Simplify right side
    410,221.80x = 68,126,058,950.04
  5. Step 5: Solve for x
    x = 68,126,058,950.04/410,221.80
  6. Step 6: Final answer
    x = 166,071.28

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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.