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Finding the Fourth Proportional to 416,422.91, 574,663.80 and 225,436.29

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Solution

The fourth proportional to 416,422.91, 574,663.80 and 225,436.29 is: 311,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,422.91 : 574,663.80 = 225,436.29 : x
  2. Step 2: Convert to fraction form
    416,422.91/574,663.80 = 225,436.29/x
  3. Step 3: Cross multiply
    416,422.91x = 574,663.80 × 225,436.29
  4. Step 4: Simplify right side
    416,422.91x = 129,550,075,069.30
  5. Step 5: Solve for x
    x = 129,550,075,069.30/416,422.91
  6. Step 6: Final answer
    x = 311,102.18

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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.