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Finding the Fourth Proportional to 474,729.40, 712,101.30 and 154,879.84

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Solution

The fourth proportional to 474,729.40, 712,101.30 and 154,879.84 is: 232,322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,729.40 : 712,101.30 = 154,879.84 : x
  2. Step 2: Convert to fraction form
    474,729.40/712,101.30 = 154,879.84/x
  3. Step 3: Cross multiply
    474,729.40x = 712,101.30 × 154,879.84
  4. Step 4: Simplify right side
    474,729.40x = 110,290,135,407.79
  5. Step 5: Solve for x
    x = 110,290,135,407.79/474,729.40
  6. Step 6: Final answer
    x = 232,322.11

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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.