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Finding the Fourth Proportional to 296,513.42, 409,189.31 and 160,549.04

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Solution

The fourth proportional to 296,513.42, 409,189.31 and 160,549.04 is: 221,558.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,513.42 : 409,189.31 = 160,549.04 : x
  2. Step 2: Convert to fraction form
    296,513.42/409,189.31 = 160,549.04/x
  3. Step 3: Cross multiply
    296,513.42x = 409,189.31 × 160,549.04
  4. Step 4: Simplify right side
    296,513.42x = 65,694,948,050.07
  5. Step 5: Solve for x
    x = 65,694,948,050.07/296,513.42
  6. Step 6: Final answer
    x = 221,558.10

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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.