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Finding the Fourth Proportional to 476,281.59, 714,531.33 and 206,454.89

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Solution

The fourth proportional to 476,281.59, 714,531.33 and 206,454.89 is: 309,729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,281.59 : 714,531.33 = 206,454.89 : x
  2. Step 2: Convert to fraction form
    476,281.59/714,531.33 = 206,454.89/x
  3. Step 3: Cross multiply
    476,281.59x = 714,531.33 × 206,454.89
  4. Step 4: Simplify right side
    476,281.59x = 147,518,487,136.70
  5. Step 5: Solve for x
    x = 147,518,487,136.70/476,281.59
  6. Step 6: Final answer
    x = 309,729.56

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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.