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Finding the Fourth Proportional to 668,344.65, 921,842.01 and 410,234.91

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Solution

The fourth proportional to 668,344.65, 921,842.01 and 410,234.91 is: 565,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,344.65 : 921,842.01 = 410,234.91 : x
  2. Step 2: Convert to fraction form
    668,344.65/921,842.01 = 410,234.91/x
  3. Step 3: Cross multiply
    668,344.65x = 921,842.01 × 410,234.91
  4. Step 4: Simplify right side
    668,344.65x = 378,171,774,006.57
  5. Step 5: Solve for x
    x = 378,171,774,006.57/668,344.65
  6. Step 6: Final answer
    x = 565,833.47

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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.