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Finding the Fourth Proportional to 296,903, 409,715.16 and 160,934.02

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Solution

The fourth proportional to 296,903, 409,715.16 and 160,934.02 is: 222,083.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,903 : 409,715.16 = 160,934.02 : x
  2. Step 2: Convert to fraction form
    296,903/409,715.16 = 160,934.02/x
  3. Step 3: Cross multiply
    296,903x = 409,715.16 × 160,934.02
  4. Step 4: Simplify right side
    296,903x = 65,937,107,753.74
  5. Step 5: Solve for x
    x = 65,937,107,753.74/296,903
  6. Step 6: Final answer
    x = 222,083.00

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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.