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Finding the Fourth Proportional to 409,698.56, 614,657.19 and 129,215.81

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Solution

The fourth proportional to 409,698.56, 614,657.19 and 129,215.81 is: 193,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,698.56 : 614,657.19 = 129,215.81 : x
  2. Step 2: Convert to fraction form
    409,698.56/614,657.19 = 129,215.81/x
  3. Step 3: Cross multiply
    409,698.56x = 614,657.19 × 129,215.81
  4. Step 4: Simplify right side
    409,698.56x = 79,423,428,699.38
  5. Step 5: Solve for x
    x = 79,423,428,699.38/409,698.56
  6. Step 6: Final answer
    x = 193,858.21

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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.