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Finding the Fourth Proportional to 377,431.44, 566,147.16 and 96,948.96

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Solution

The fourth proportional to 377,431.44, 566,147.16 and 96,948.96 is: 145,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,431.44 : 566,147.16 = 96,948.96 : x
  2. Step 2: Convert to fraction form
    377,431.44/566,147.16 = 96,948.96/x
  3. Step 3: Cross multiply
    377,431.44x = 566,147.16 × 96,948.96
  4. Step 4: Simplify right side
    377,431.44x = 54,887,378,368.95
  5. Step 5: Solve for x
    x = 54,887,378,368.95/377,431.44
  6. Step 6: Final answer
    x = 145,423.44

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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.