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Finding the Fourth Proportional to 296,490.52, 409,151.95 and 160,523.36

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Solution

The fourth proportional to 296,490.52, 409,151.95 and 160,523.36 is: 221,519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,490.52 : 409,151.95 = 160,523.36 : x
  2. Step 2: Convert to fraction form
    296,490.52/409,151.95 = 160,523.36/x
  3. Step 3: Cross multiply
    296,490.52x = 409,151.95 × 160,523.36
  4. Step 4: Simplify right side
    296,490.52x = 65,678,443,317.48
  5. Step 5: Solve for x
    x = 65,678,443,317.48/296,490.52
  6. Step 6: Final answer
    x = 221,519.54

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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.