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Finding the Fourth Proportional to 590,768.71, 814,932.53 and 387,148.07

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Solution

The fourth proportional to 590,768.71, 814,932.53 and 387,148.07 is: 534,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,768.71 : 814,932.53 = 387,148.07 : x
  2. Step 2: Convert to fraction form
    590,768.71/814,932.53 = 387,148.07/x
  3. Step 3: Cross multiply
    590,768.71x = 814,932.53 × 387,148.07
  4. Step 4: Simplify right side
    590,768.71x = 315,499,557,723.11
  5. Step 5: Solve for x
    x = 315,499,557,723.11/590,768.71
  6. Step 6: Final answer
    x = 534,049.20

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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.