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Finding the Fourth Proportional to 650,666.16, 976,077.96 and 229,855.92

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Solution

The fourth proportional to 650,666.16, 976,077.96 and 229,855.92 is: 344,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,666.16 : 976,077.96 = 229,855.92 : x
  2. Step 2: Convert to fraction form
    650,666.16/976,077.96 = 229,855.92/x
  3. Step 3: Cross multiply
    650,666.16x = 976,077.96 × 229,855.92
  4. Step 4: Simplify right side
    650,666.16x = 224,357,297,487.52
  5. Step 5: Solve for x
    x = 224,357,297,487.52/650,666.16
  6. Step 6: Final answer
    x = 344,811.69

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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.