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Finding the Fourth Proportional to 295,900.30, 408,334.16 and 166,837.64

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Solution

The fourth proportional to 295,900.30, 408,334.16 and 166,837.64 is: 230,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,900.30 : 408,334.16 = 166,837.64 : x
  2. Step 2: Convert to fraction form
    295,900.30/408,334.16 = 166,837.64/x
  3. Step 3: Cross multiply
    295,900.30x = 408,334.16 × 166,837.64
  4. Step 4: Simplify right side
    295,900.30x = 68,125,506,751.59
  5. Step 5: Solve for x
    x = 68,125,506,751.59/295,900.30
  6. Step 6: Final answer
    x = 230,231.29

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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.