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Finding the Fourth Proportional to 416,246.20, 574,421.54 and 225,259.58

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Solution

The fourth proportional to 416,246.20, 574,421.54 and 225,259.58 is: 310,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,246.20 : 574,421.54 = 225,259.58 : x
  2. Step 2: Convert to fraction form
    416,246.20/574,421.54 = 225,259.58/x
  3. Step 3: Cross multiply
    416,246.20x = 574,421.54 × 225,259.58
  4. Step 4: Simplify right side
    416,246.20x = 129,393,955,153.11
  5. Step 5: Solve for x
    x = 129,393,955,153.11/416,246.20
  6. Step 6: Final answer
    x = 310,859.19

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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.