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Finding the Fourth Proportional to 861,314, 1,291,982.52 and 270,338

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Solution

The fourth proportional to 861,314, 1,291,982.52 and 270,338 is: 405,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,314 : 1,291,982.52 = 270,338 : x
  2. Step 2: Convert to fraction form
    861,314/1,291,982.52 = 270,338/x
  3. Step 3: Cross multiply
    861,314x = 1,291,982.52 × 270,338
  4. Step 4: Simplify right side
    861,314x = 349,271,970,491.76
  5. Step 5: Solve for x
    x = 349,271,970,491.76/861,314
  6. Step 6: Final answer
    x = 405,510.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.