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Finding the Fourth Proportional to 416,264.88, 574,445.52 and 225,278.22

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Solution

The fourth proportional to 416,264.88, 574,445.52 and 225,278.22 is: 310,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,264.88 : 574,445.52 = 225,278.22 : x
  2. Step 2: Convert to fraction form
    416,264.88/574,445.52 = 225,278.22/x
  3. Step 3: Cross multiply
    416,264.88x = 574,445.52 × 225,278.22
  4. Step 4: Simplify right side
    416,264.88x = 129,410,064,232.57
  5. Step 5: Solve for x
    x = 129,410,064,232.57/416,264.88
  6. Step 6: Final answer
    x = 310,883.94

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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.