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Finding the Fourth Proportional to 295,899.80, 408,333.47 and 166,837.14

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Solution

The fourth proportional to 295,899.80, 408,333.47 and 166,837.14 is: 230,230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,899.80 : 408,333.47 = 166,837.14 : x
  2. Step 2: Convert to fraction form
    295,899.80/408,333.47 = 166,837.14/x
  3. Step 3: Cross multiply
    295,899.80x = 408,333.47 × 166,837.14
  4. Step 4: Simplify right side
    295,899.80x = 68,125,187,466.89
  5. Step 5: Solve for x
    x = 68,125,187,466.89/295,899.80
  6. Step 6: Final answer
    x = 230,230.60

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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.