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Finding the Fourth Proportional to 376,985.74, 565,478.24 and 96,502.54

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Solution

The fourth proportional to 376,985.74, 565,478.24 and 96,502.54 is: 144,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,985.74 : 565,478.24 = 96,502.54 : x
  2. Step 2: Convert to fraction form
    376,985.74/565,478.24 = 96,502.54/x
  3. Step 3: Cross multiply
    376,985.74x = 565,478.24 × 96,502.54
  4. Step 4: Simplify right side
    376,985.74x = 54,570,086,474.73
  5. Step 5: Solve for x
    x = 54,570,086,474.73/376,985.74
  6. Step 6: Final answer
    x = 144,753.72

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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.