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Finding the Fourth Proportional to 515,568.80, 773,635.08 and 200,038.16

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Solution

The fourth proportional to 515,568.80, 773,635.08 and 200,038.16 is: 300,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,568.80 : 773,635.08 = 200,038.16 : x
  2. Step 2: Convert to fraction form
    515,568.80/773,635.08 = 200,038.16/x
  3. Step 3: Cross multiply
    515,568.80x = 773,635.08 × 200,038.16
  4. Step 4: Simplify right side
    515,568.80x = 154,756,537,914.65
  5. Step 5: Solve for x
    x = 154,756,537,914.65/515,568.80
  6. Step 6: Final answer
    x = 300,166.61

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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.