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Finding the Fourth Proportional to 416,586.30, 574,889.13 and 225,600.18

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Solution

The fourth proportional to 416,586.30, 574,889.13 and 225,600.18 is: 311,328.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,586.30 : 574,889.13 = 225,600.18 : x
  2. Step 2: Convert to fraction form
    416,586.30/574,889.13 = 225,600.18/x
  3. Step 3: Cross multiply
    416,586.30x = 574,889.13 × 225,600.18
  4. Step 4: Simplify right side
    416,586.30x = 129,695,091,208.04
  5. Step 5: Solve for x
    x = 129,695,091,208.04/416,586.30
  6. Step 6: Final answer
    x = 311,328.27

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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.