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Finding the Fourth Proportional to 296,859.93, 409,665.69 and 160,897.20

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Solution

The fourth proportional to 296,859.93, 409,665.69 and 160,897.20 is: 222,037.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,859.93 : 409,665.69 = 160,897.20 : x
  2. Step 2: Convert to fraction form
    296,859.93/409,665.69 = 160,897.20/x
  3. Step 3: Cross multiply
    296,859.93x = 409,665.69 × 160,897.20
  4. Step 4: Simplify right side
    296,859.93x = 65,914,062,457.07
  5. Step 5: Solve for x
    x = 65,914,062,457.07/296,859.93
  6. Step 6: Final answer
    x = 222,037.59

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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.