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Finding the Fourth Proportional to 828,164.52, 1,142,860.14 and 465,589.98

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Solution

The fourth proportional to 828,164.52, 1,142,860.14 and 465,589.98 is: 642,510.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,164.52 : 1,142,860.14 = 465,589.98 : x
  2. Step 2: Convert to fraction form
    828,164.52/1,142,860.14 = 465,589.98/x
  3. Step 3: Cross multiply
    828,164.52x = 1,142,860.14 × 465,589.98
  4. Step 4: Simplify right side
    828,164.52x = 532,104,229,725.40
  5. Step 5: Solve for x
    x = 532,104,229,725.40/828,164.52
  6. Step 6: Final answer
    x = 642,510.29

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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.