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Finding the Fourth Proportional to 590,765.33, 814,927.89 and 387,144.70

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Solution

The fourth proportional to 590,765.33, 814,927.89 and 387,144.70 is: 534,044.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,765.33 : 814,927.89 = 387,144.70 : x
  2. Step 2: Convert to fraction form
    590,765.33/814,927.89 = 387,144.70/x
  3. Step 3: Cross multiply
    590,765.33x = 814,927.89 × 387,144.70
  4. Step 4: Simplify right side
    590,765.33x = 315,495,010,732.47
  5. Step 5: Solve for x
    x = 315,495,010,732.47/590,765.33
  6. Step 6: Final answer
    x = 534,044.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.