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Finding the Fourth Proportional to 521,206.52, 719,266.38 and 282,742.52

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Solution

The fourth proportional to 521,206.52, 719,266.38 and 282,742.52 is: 390,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,206.52 : 719,266.38 = 282,742.52 : x
  2. Step 2: Convert to fraction form
    521,206.52/719,266.38 = 282,742.52/x
  3. Step 3: Cross multiply
    521,206.52x = 719,266.38 × 282,742.52
  4. Step 4: Simplify right side
    521,206.52x = 203,367,188,832.48
  5. Step 5: Solve for x
    x = 203,367,188,832.48/521,206.52
  6. Step 6: Final answer
    x = 390,185.43

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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.