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Finding the Fourth Proportional to 294,470.66, 406,371.40 and 167,148.38

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Solution

The fourth proportional to 294,470.66, 406,371.40 and 167,148.38 is: 230,665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,470.66 : 406,371.40 = 167,148.38 : x
  2. Step 2: Convert to fraction form
    294,470.66/406,371.40 = 167,148.38/x
  3. Step 3: Cross multiply
    294,470.66x = 406,371.40 × 167,148.38
  4. Step 4: Simplify right side
    294,470.66x = 67,924,321,188.33
  5. Step 5: Solve for x
    x = 67,924,321,188.33/294,470.66
  6. Step 6: Final answer
    x = 230,665.84

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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.