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Finding the Fourth Proportional to 411,959.68, 618,173.28 and 222,417.52

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Solution

The fourth proportional to 411,959.68, 618,173.28 and 222,417.52 is: 333,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,959.68 : 618,173.28 = 222,417.52 : x
  2. Step 2: Convert to fraction form
    411,959.68/618,173.28 = 222,417.52/x
  3. Step 3: Cross multiply
    411,959.68x = 618,173.28 × 222,417.52
  4. Step 4: Simplify right side
    411,959.68x = 137,492,567,867.87
  5. Step 5: Solve for x
    x = 137,492,567,867.87/411,959.68
  6. Step 6: Final answer
    x = 333,752.49

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Why These Related Problems?

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