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Finding the Fourth Proportional to 274,377.84, 413,623.16 and 256,089

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Solution

The fourth proportional to 274,377.84, 413,623.16 and 256,089 is: 386,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,377.84 : 413,623.16 = 256,089 : x
  2. Step 2: Convert to fraction form
    274,377.84/413,623.16 = 256,089/x
  3. Step 3: Cross multiply
    274,377.84x = 413,623.16 × 256,089
  4. Step 4: Simplify right side
    274,377.84x = 105,924,341,421.24
  5. Step 5: Solve for x
    x = 105,924,341,421.24/274,377.84
  6. Step 6: Final answer
    x = 386,052.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.