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Finding the Fourth Proportional to 519,231.78, 716,538.69 and 292,875.66

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Solution

The fourth proportional to 519,231.78, 716,538.69 and 292,875.66 is: 404,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,231.78 : 716,538.69 = 292,875.66 : x
  2. Step 2: Convert to fraction form
    519,231.78/716,538.69 = 292,875.66/x
  3. Step 3: Cross multiply
    519,231.78x = 716,538.69 × 292,875.66
  4. Step 4: Simplify right side
    519,231.78x = 209,856,741,749.29
  5. Step 5: Solve for x
    x = 209,856,741,749.29/519,231.78
  6. Step 6: Final answer
    x = 404,167.75

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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.