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Finding the Fourth Proportional to 590,822.80, 886,234.23 and 471,937.48

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Solution

The fourth proportional to 590,822.80, 886,234.23 and 471,937.48 is: 707,906.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,822.80 : 886,234.23 = 471,937.48 : x
  2. Step 2: Convert to fraction form
    590,822.80/886,234.23 = 471,937.48/x
  3. Step 3: Cross multiply
    590,822.80x = 886,234.23 × 471,937.48
  4. Step 4: Simplify right side
    590,822.80x = 418,247,146,980.36
  5. Step 5: Solve for x
    x = 418,247,146,980.36/590,822.80
  6. Step 6: Final answer
    x = 707,906.24

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Why These Related Problems?

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