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Finding the Fourth Proportional to 296,862, 409,670.52 and 160,898.16

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Solution

The fourth proportional to 296,862, 409,670.52 and 160,898.16 is: 222,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,862 : 409,670.52 = 160,898.16 : x
  2. Step 2: Convert to fraction form
    296,862/409,670.52 = 160,898.16/x
  3. Step 3: Cross multiply
    296,862x = 409,670.52 × 160,898.16
  4. Step 4: Simplify right side
    296,862x = 65,915,232,874.24
  5. Step 5: Solve for x
    x = 65,915,232,874.24/296,862
  6. Step 6: Final answer
    x = 222,039.98

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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.