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Finding the Fourth Proportional to 376,594, 564,890.48 and 96,111.24

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Solution

The fourth proportional to 376,594, 564,890.48 and 96,111.24 is: 144,166.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,594 : 564,890.48 = 96,111.24 : x
  2. Step 2: Convert to fraction form
    376,594/564,890.48 = 96,111.24/x
  3. Step 3: Cross multiply
    376,594x = 564,890.48 × 96,111.24
  4. Step 4: Simplify right side
    376,594x = 54,292,324,497.00
  5. Step 5: Solve for x
    x = 54,292,324,497.00/376,594
  6. Step 6: Final answer
    x = 144,166.73

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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.