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Finding the Fourth Proportional to 392,740.48, 541,962.56 and 222,952.32

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Solution

The fourth proportional to 392,740.48, 541,962.56 and 222,952.32 is: 307,663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,740.48 : 541,962.56 = 222,952.32 : x
  2. Step 2: Convert to fraction form
    392,740.48/541,962.56 = 222,952.32/x
  3. Step 3: Cross multiply
    392,740.48x = 541,962.56 × 222,952.32
  4. Step 4: Simplify right side
    392,740.48x = 120,831,810,105.14
  5. Step 5: Solve for x
    x = 120,831,810,105.14/392,740.48
  6. Step 6: Final answer
    x = 307,663.24

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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.