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Finding the Fourth Proportional to 296,608.47, 409,344.90 and 167,570.64

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Solution

The fourth proportional to 296,608.47, 409,344.90 and 167,570.64 is: 231,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,608.47 : 409,344.90 = 167,570.64 : x
  2. Step 2: Convert to fraction form
    296,608.47/409,344.90 = 167,570.64/x
  3. Step 3: Cross multiply
    296,608.47x = 409,344.90 × 167,570.64
  4. Step 4: Simplify right side
    296,608.47x = 68,594,186,873.74
  5. Step 5: Solve for x
    x = 68,594,186,873.74/296,608.47
  6. Step 6: Final answer
    x = 231,261.73

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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.