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Finding the Fourth Proportional to 828,154.92, 1,142,827.12 and 465,594

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Solution

The fourth proportional to 828,154.92, 1,142,827.12 and 465,594 is: 642,504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,154.92 : 1,142,827.12 = 465,594 : x
  2. Step 2: Convert to fraction form
    828,154.92/1,142,827.12 = 465,594/x
  3. Step 3: Cross multiply
    828,154.92x = 1,142,827.12 × 465,594
  4. Step 4: Simplify right side
    828,154.92x = 532,093,450,109.28
  5. Step 5: Solve for x
    x = 532,093,450,109.28/828,154.92
  6. Step 6: Final answer
    x = 642,504.73

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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.