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Finding the Fourth Proportional to 416,528.84, 574,809 and 225,542.80

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Solution

The fourth proportional to 416,528.84, 574,809 and 225,542.80 is: 311,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,528.84 : 574,809 = 225,542.80 : x
  2. Step 2: Convert to fraction form
    416,528.84/574,809 = 225,542.80/x
  3. Step 3: Cross multiply
    416,528.84x = 574,809 × 225,542.80
  4. Step 4: Simplify right side
    416,528.84x = 129,644,031,325.20
  5. Step 5: Solve for x
    x = 129,644,031,325.20/416,528.84
  6. Step 6: Final answer
    x = 311,248.63

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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.