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Finding the Fourth Proportional to 416,241.27, 574,417.01 and 225,258.63

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Solution

The fourth proportional to 416,241.27, 574,417.01 and 225,258.63 is: 310,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,241.27 : 574,417.01 = 225,258.63 : x
  2. Step 2: Convert to fraction form
    416,241.27/574,417.01 = 225,258.63/x
  3. Step 3: Cross multiply
    416,241.27x = 574,417.01 × 225,258.63
  4. Step 4: Simplify right side
    416,241.27x = 129,392,387,595.00
  5. Step 5: Solve for x
    x = 129,392,387,595.00/416,241.27
  6. Step 6: Final answer
    x = 310,859.10

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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.