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Finding the Fourth Proportional to 478,076.27, 716,947.28 and 141,027.44

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Solution

The fourth proportional to 478,076.27, 716,947.28 and 141,027.44 is: 211,491.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,076.27 : 716,947.28 = 141,027.44 : x
  2. Step 2: Convert to fraction form
    478,076.27/716,947.28 = 141,027.44/x
  3. Step 3: Cross multiply
    478,076.27x = 716,947.28 × 141,027.44
  4. Step 4: Simplify right side
    478,076.27x = 101,109,238,808.23
  5. Step 5: Solve for x
    x = 101,109,238,808.23/478,076.27
  6. Step 6: Final answer
    x = 211,491.86

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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.