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Finding the Fourth Proportional to 416,295.10, 574,489.65 and 225,308.49

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Solution

The fourth proportional to 416,295.10, 574,489.65 and 225,308.49 is: 310,927.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,295.10 : 574,489.65 = 225,308.49 : x
  2. Step 2: Convert to fraction form
    416,295.10/574,489.65 = 225,308.49/x
  3. Step 3: Cross multiply
    416,295.10x = 574,489.65 × 225,308.49
  4. Step 4: Simplify right side
    416,295.10x = 129,437,392,985.34
  5. Step 5: Solve for x
    x = 129,437,392,985.34/416,295.10
  6. Step 6: Final answer
    x = 310,927.02

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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.