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Finding the Fourth Proportional to 296,519.40, 409,296.65 and 180,232.52

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Solution

The fourth proportional to 296,519.40, 409,296.65 and 180,232.52 is: 248,781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,519.40 : 409,296.65 = 180,232.52 : x
  2. Step 2: Convert to fraction form
    296,519.40/409,296.65 = 180,232.52/x
  3. Step 3: Cross multiply
    296,519.40x = 409,296.65 × 180,232.52
  4. Step 4: Simplify right side
    296,519.40x = 73,768,563,709.41
  5. Step 5: Solve for x
    x = 73,768,563,709.41/296,519.40
  6. Step 6: Final answer
    x = 248,781.58

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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.