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Finding the Fourth Proportional to 296,835.96, 409,635.05 and 160,870.17

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Solution

The fourth proportional to 296,835.96, 409,635.05 and 160,870.17 is: 222,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,835.96 : 409,635.05 = 160,870.17 : x
  2. Step 2: Convert to fraction form
    296,835.96/409,635.05 = 160,870.17/x
  3. Step 3: Cross multiply
    296,835.96x = 409,635.05 × 160,870.17
  4. Step 4: Simplify right side
    296,835.96x = 65,898,059,327.11
  5. Step 5: Solve for x
    x = 65,898,059,327.11/296,835.96
  6. Step 6: Final answer
    x = 222,001.60

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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.