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Finding the Fourth Proportional to 512,191.54, 706,805.79 and 282,743.90

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Solution

The fourth proportional to 512,191.54, 706,805.79 and 282,743.90 is: 390,176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,191.54 : 706,805.79 = 282,743.90 : x
  2. Step 2: Convert to fraction form
    512,191.54/706,805.79 = 282,743.90/x
  3. Step 3: Cross multiply
    512,191.54x = 706,805.79 × 282,743.90
  4. Step 4: Simplify right side
    512,191.54x = 199,845,025,607.18
  5. Step 5: Solve for x
    x = 199,845,025,607.18/512,191.54
  6. Step 6: Final answer
    x = 390,176.35

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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.