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Finding the Fourth Proportional to 243,827.20, 365,740.80 and 212,723.20

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Solution

The fourth proportional to 243,827.20, 365,740.80 and 212,723.20 is: 319,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,827.20 : 365,740.80 = 212,723.20 : x
  2. Step 2: Convert to fraction form
    243,827.20/365,740.80 = 212,723.20/x
  3. Step 3: Cross multiply
    243,827.20x = 365,740.80 × 212,723.20
  4. Step 4: Simplify right side
    243,827.20x = 77,801,553,346.56
  5. Step 5: Solve for x
    x = 77,801,553,346.56/243,827.20
  6. Step 6: Final answer
    x = 319,084.80

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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.