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Finding the Fourth Proportional to 400,318.56, 600,383.52 and 147,461.76

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Solution

The fourth proportional to 400,318.56, 600,383.52 and 147,461.76 is: 221,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,318.56 : 600,383.52 = 147,461.76 : x
  2. Step 2: Convert to fraction form
    400,318.56/600,383.52 = 147,461.76/x
  3. Step 3: Cross multiply
    400,318.56x = 600,383.52 × 147,461.76
  4. Step 4: Simplify right side
    400,318.56x = 88,533,610,534.20
  5. Step 5: Solve for x
    x = 88,533,610,534.20/400,318.56
  6. Step 6: Final answer
    x = 221,157.90

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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.