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Finding the Fourth Proportional to 382,886.10, 574,329.15 and 133,568.10

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Solution

The fourth proportional to 382,886.10, 574,329.15 and 133,568.10 is: 200,352.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,886.10 : 574,329.15 = 133,568.10 : x
  2. Step 2: Convert to fraction form
    382,886.10/574,329.15 = 133,568.10/x
  3. Step 3: Cross multiply
    382,886.10x = 574,329.15 × 133,568.10
  4. Step 4: Simplify right side
    382,886.10x = 76,712,053,340.12
  5. Step 5: Solve for x
    x = 76,712,053,340.12/382,886.10
  6. Step 6: Final answer
    x = 200,352.15

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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.