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Finding the Fourth Proportional to 466,345.16, 699,324.62 and 146,390.12

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Solution

The fourth proportional to 466,345.16, 699,324.62 and 146,390.12 is: 219,524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,345.16 : 699,324.62 = 146,390.12 : x
  2. Step 2: Convert to fraction form
    466,345.16/699,324.62 = 146,390.12/x
  3. Step 3: Cross multiply
    466,345.16x = 699,324.62 × 146,390.12
  4. Step 4: Simplify right side
    466,345.16x = 102,374,215,040.75
  5. Step 5: Solve for x
    x = 102,374,215,040.75/466,345.16
  6. Step 6: Final answer
    x = 219,524.56

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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.