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Finding the Fourth Proportional to 297,864.60, 446,796.90 and 284,962.20

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Solution

The fourth proportional to 297,864.60, 446,796.90 and 284,962.20 is: 427,443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,864.60 : 446,796.90 = 284,962.20 : x
  2. Step 2: Convert to fraction form
    297,864.60/446,796.90 = 284,962.20/x
  3. Step 3: Cross multiply
    297,864.60x = 446,796.90 × 284,962.20
  4. Step 4: Simplify right side
    297,864.60x = 127,320,227,577.18
  5. Step 5: Solve for x
    x = 127,320,227,577.18/297,864.60
  6. Step 6: Final answer
    x = 427,443.30

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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.