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Finding the Fourth Proportional to 296,489.16, 409,155.28 and 160,523.19

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Solution

The fourth proportional to 296,489.16, 409,155.28 and 160,523.19 is: 221,522.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,489.16 : 409,155.28 = 160,523.19 : x
  2. Step 2: Convert to fraction form
    296,489.16/409,155.28 = 160,523.19/x
  3. Step 3: Cross multiply
    296,489.16x = 409,155.28 × 160,523.19
  4. Step 4: Simplify right side
    296,489.16x = 65,678,910,349.64
  5. Step 5: Solve for x
    x = 65,678,910,349.64/296,489.16
  6. Step 6: Final answer
    x = 221,522.13

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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.