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Finding the Fourth Proportional to 286,537.20, 429,805.80 and 144,819.60

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Solution

The fourth proportional to 286,537.20, 429,805.80 and 144,819.60 is: 217,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,537.20 : 429,805.80 = 144,819.60 : x
  2. Step 2: Convert to fraction form
    286,537.20/429,805.80 = 144,819.60/x
  3. Step 3: Cross multiply
    286,537.20x = 429,805.80 × 144,819.60
  4. Step 4: Simplify right side
    286,537.20x = 62,244,304,033.68
  5. Step 5: Solve for x
    x = 62,244,304,033.68/286,537.20
  6. Step 6: Final answer
    x = 217,229.40

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1.5x scale

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.