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Finding the Fourth Proportional to 416,153.49, 574,230.23 and 252,725

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Solution

The fourth proportional to 416,153.49, 574,230.23 and 252,725 is: 348,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,153.49 : 574,230.23 = 252,725 : x
  2. Step 2: Convert to fraction form
    416,153.49/574,230.23 = 252,725/x
  3. Step 3: Cross multiply
    416,153.49x = 574,230.23 × 252,725
  4. Step 4: Simplify right side
    416,153.49x = 145,122,334,876.75
  5. Step 5: Solve for x
    x = 145,122,334,876.75/416,153.49
  6. Step 6: Final answer
    x = 348,723.10

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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.