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Finding the Fourth Proportional to 289,888.56, 399,909.96 and 205,052.40

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Solution

The fourth proportional to 289,888.56, 399,909.96 and 205,052.40 is: 282,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,888.56 : 399,909.96 = 205,052.40 : x
  2. Step 2: Convert to fraction form
    289,888.56/399,909.96 = 205,052.40/x
  3. Step 3: Cross multiply
    289,888.56x = 399,909.96 × 205,052.40
  4. Step 4: Simplify right side
    289,888.56x = 82,002,497,081.90
  5. Step 5: Solve for x
    x = 82,002,497,081.90/289,888.56
  6. Step 6: Final answer
    x = 282,875.93

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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.