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Finding the Fourth Proportional to 424,063.56, 636,095.76 and 199,259.16

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Solution

The fourth proportional to 424,063.56, 636,095.76 and 199,259.16 is: 298,888.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,063.56 : 636,095.76 = 199,259.16 : x
  2. Step 2: Convert to fraction form
    424,063.56/636,095.76 = 199,259.16/x
  3. Step 3: Cross multiply
    424,063.56x = 636,095.76 × 199,259.16
  4. Step 4: Simplify right side
    424,063.56x = 126,747,906,817.16
  5. Step 5: Solve for x
    x = 126,747,906,817.16/424,063.56
  6. Step 6: Final answer
    x = 298,888.94

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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.