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Finding the Fourth Proportional to 284,335.67, 391,915.41 and 201,577.16

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Solution

The fourth proportional to 284,335.67, 391,915.41 and 201,577.16 is: 277,844.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,335.67 : 391,915.41 = 201,577.16 : x
  2. Step 2: Convert to fraction form
    284,335.67/391,915.41 = 201,577.16/x
  3. Step 3: Cross multiply
    284,335.67x = 391,915.41 × 201,577.16
  4. Step 4: Simplify right side
    284,335.67x = 79,001,195,308.04
  5. Step 5: Solve for x
    x = 79,001,195,308.04/284,335.67
  6. Step 6: Final answer
    x = 277,844.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.