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Finding the Fourth Proportional to 296,056.30, 444,089.94 and 96,376

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Solution

The fourth proportional to 296,056.30, 444,089.94 and 96,376 is: 144,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,056.30 : 444,089.94 = 96,376 : x
  2. Step 2: Convert to fraction form
    296,056.30/444,089.94 = 96,376/x
  3. Step 3: Cross multiply
    296,056.30x = 444,089.94 × 96,376
  4. Step 4: Simplify right side
    296,056.30x = 42,799,612,057.44
  5. Step 5: Solve for x
    x = 42,799,612,057.44/296,056.30
  6. Step 6: Final answer
    x = 144,565.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.