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Finding the Fourth Proportional to 310,847.82, 428,957.49 and 174,884.46

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Solution

The fourth proportional to 310,847.82, 428,957.49 and 174,884.46 is: 241,333.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,847.82 : 428,957.49 = 174,884.46 : x
  2. Step 2: Convert to fraction form
    310,847.82/428,957.49 = 174,884.46/x
  3. Step 3: Cross multiply
    310,847.82x = 428,957.49 × 174,884.46
  4. Step 4: Simplify right side
    310,847.82x = 75,017,999,001.61
  5. Step 5: Solve for x
    x = 75,017,999,001.61/310,847.82
  6. Step 6: Final answer
    x = 241,333.52

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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.