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Finding the Fourth Proportional to 296,989.60, 409,838.16 and 162,853.60

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Solution

The fourth proportional to 296,989.60, 409,838.16 and 162,853.60 is: 224,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,989.60 : 409,838.16 = 162,853.60 : x
  2. Step 2: Convert to fraction form
    296,989.60/409,838.16 = 162,853.60/x
  3. Step 3: Cross multiply
    296,989.60x = 409,838.16 × 162,853.60
  4. Step 4: Simplify right side
    296,989.60x = 66,743,619,773.38
  5. Step 5: Solve for x
    x = 66,743,619,773.38/296,989.60
  6. Step 6: Final answer
    x = 224,733.86

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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.