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Finding the Fourth Proportional to 767,711.52, 1,059,443.76 and 428,201.76

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Solution

The fourth proportional to 767,711.52, 1,059,443.76 and 428,201.76 is: 590,919.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,711.52 : 1,059,443.76 = 428,201.76 : x
  2. Step 2: Convert to fraction form
    767,711.52/1,059,443.76 = 428,201.76/x
  3. Step 3: Cross multiply
    767,711.52x = 1,059,443.76 × 428,201.76
  4. Step 4: Simplify right side
    767,711.52x = 453,655,682,653.02
  5. Step 5: Solve for x
    x = 453,655,682,653.02/767,711.52
  6. Step 6: Final answer
    x = 590,919.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.