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Finding the Fourth Proportional to 828,751.74, 1,143,353.52 and 466,092.42

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Solution

The fourth proportional to 828,751.74, 1,143,353.52 and 466,092.42 is: 643,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,751.74 : 1,143,353.52 = 466,092.42 : x
  2. Step 2: Convert to fraction form
    828,751.74/1,143,353.52 = 466,092.42/x
  3. Step 3: Cross multiply
    828,751.74x = 1,143,353.52 × 466,092.42
  4. Step 4: Simplify right side
    828,751.74x = 532,908,409,052.32
  5. Step 5: Solve for x
    x = 532,908,409,052.32/828,751.74
  6. Step 6: Final answer
    x = 643,025.39

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Why These Related Problems?

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