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Finding the Fourth Proportional to 416,148.98, 574,281.50 and 225,158.18

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Solution

The fourth proportional to 416,148.98, 574,281.50 and 225,158.18 is: 310,716.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,148.98 : 574,281.50 = 225,158.18 : x
  2. Step 2: Convert to fraction form
    416,148.98/574,281.50 = 225,158.18/x
  3. Step 3: Cross multiply
    416,148.98x = 574,281.50 × 225,158.18
  4. Step 4: Simplify right side
    416,148.98x = 129,304,177,347.67
  5. Step 5: Solve for x
    x = 129,304,177,347.67/416,148.98
  6. Step 6: Final answer
    x = 310,716.07

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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.