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Finding the Fourth Proportional to 828,496.76, 1,143,314.64 and 465,920.52

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Solution

The fourth proportional to 828,496.76, 1,143,314.64 and 465,920.52 is: 642,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,496.76 : 1,143,314.64 = 465,920.52 : x
  2. Step 2: Convert to fraction form
    828,496.76/1,143,314.64 = 465,920.52/x
  3. Step 3: Cross multiply
    828,496.76x = 1,143,314.64 × 465,920.52
  4. Step 4: Simplify right side
    828,496.76x = 532,693,751,592.41
  5. Step 5: Solve for x
    x = 532,693,751,592.41/828,496.76
  6. Step 6: Final answer
    x = 642,964.19

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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.