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Finding the Fourth Proportional to 296,579.01, 409,279.41 and 160,613.18

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Solution

The fourth proportional to 296,579.01, 409,279.41 and 160,613.18 is: 221,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,579.01 : 409,279.41 = 160,613.18 : x
  2. Step 2: Convert to fraction form
    296,579.01/409,279.41 = 160,613.18/x
  3. Step 3: Cross multiply
    296,579.01x = 409,279.41 × 160,613.18
  4. Step 4: Simplify right side
    296,579.01x = 65,735,665,502.23
  5. Step 5: Solve for x
    x = 65,735,665,502.23/296,579.01
  6. Step 6: Final answer
    x = 221,646.39

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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.