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Finding the Fourth Proportional to 578,632.14, 797,979.60 and 397,023.66

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Solution

The fourth proportional to 578,632.14, 797,979.60 and 397,023.66 is: 547,527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,632.14 : 797,979.60 = 397,023.66 : x
  2. Step 2: Convert to fraction form
    578,632.14/797,979.60 = 397,023.66/x
  3. Step 3: Cross multiply
    578,632.14x = 797,979.60 × 397,023.66
  4. Step 4: Simplify right side
    578,632.14x = 316,816,781,397.34
  5. Step 5: Solve for x
    x = 316,816,781,397.34/578,632.14
  6. Step 6: Final answer
    x = 547,527.11

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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.