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Finding the Fourth Proportional to 296,951.01, 409,792.49 and 160,984.92

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Solution

The fourth proportional to 296,951.01, 409,792.49 and 160,984.92 is: 222,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,951.01 : 409,792.49 = 160,984.92 : x
  2. Step 2: Convert to fraction form
    296,951.01/409,792.49 = 160,984.92/x
  3. Step 3: Cross multiply
    296,951.01x = 409,792.49 × 160,984.92
  4. Step 4: Simplify right side
    296,951.01x = 65,970,411,219.25
  5. Step 5: Solve for x
    x = 65,970,411,219.25/296,951.01
  6. Step 6: Final answer
    x = 222,159.24

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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.