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Finding the Fourth Proportional to 301,675.39, 416,287.25 and 165,702.31

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Solution

The fourth proportional to 301,675.39, 416,287.25 and 165,702.31 is: 228,655.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,675.39 : 416,287.25 = 165,702.31 : x
  2. Step 2: Convert to fraction form
    301,675.39/416,287.25 = 165,702.31/x
  3. Step 3: Cross multiply
    301,675.39x = 416,287.25 × 165,702.31
  4. Step 4: Simplify right side
    301,675.39x = 68,979,757,700.70
  5. Step 5: Solve for x
    x = 68,979,757,700.70/301,675.39
  6. Step 6: Final answer
    x = 228,655.57

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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.