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Finding the Fourth Proportional to 828,040, 1,142,685.04 and 465,524.32

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Solution

The fourth proportional to 828,040, 1,142,685.04 and 465,524.32 is: 642,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,040 : 1,142,685.04 = 465,524.32 : x
  2. Step 2: Convert to fraction form
    828,040/1,142,685.04 = 465,524.32/x
  3. Step 3: Cross multiply
    828,040x = 1,142,685.04 × 465,524.32
  4. Step 4: Simplify right side
    828,040x = 531,947,676,220.17
  5. Step 5: Solve for x
    x = 531,947,676,220.17/828,040
  6. Step 6: Final answer
    x = 642,417.85

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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.