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Finding the Fourth Proportional to 295,215, 407,394.54 and 167,890.44

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Solution

The fourth proportional to 295,215, 407,394.54 and 167,890.44 is: 231,687.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,215 : 407,394.54 = 167,890.44 : x
  2. Step 2: Convert to fraction form
    295,215/407,394.54 = 167,890.44/x
  3. Step 3: Cross multiply
    295,215x = 407,394.54 × 167,890.44
  4. Step 4: Simplify right side
    295,215x = 68,397,648,574.20
  5. Step 5: Solve for x
    x = 68,397,648,574.20/295,215
  6. Step 6: Final answer
    x = 231,687.58

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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.