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Finding the Fourth Proportional to 296,777.28, 409,572.76 and 167,670.98

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Solution

The fourth proportional to 296,777.28, 409,572.76 and 167,670.98 is: 231,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,777.28 : 409,572.76 = 167,670.98 : x
  2. Step 2: Convert to fraction form
    296,777.28/409,572.76 = 167,670.98/x
  3. Step 3: Cross multiply
    296,777.28x = 409,572.76 × 167,670.98
  4. Step 4: Simplify right side
    296,777.28x = 68,673,466,050.50
  5. Step 5: Solve for x
    x = 68,673,466,050.50/296,777.28
  6. Step 6: Final answer
    x = 231,397.32

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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.