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Finding the Fourth Proportional to 452,595.60, 679,282.20 and 200,264.40

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Solution

The fourth proportional to 452,595.60, 679,282.20 and 200,264.40 is: 300,568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,595.60 : 679,282.20 = 200,264.40 : x
  2. Step 2: Convert to fraction form
    452,595.60/679,282.20 = 200,264.40/x
  3. Step 3: Cross multiply
    452,595.60x = 679,282.20 × 200,264.40
  4. Step 4: Simplify right side
    452,595.60x = 136,036,042,213.68
  5. Step 5: Solve for x
    x = 136,036,042,213.68/452,595.60
  6. Step 6: Final answer
    x = 300,568.64

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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.