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Finding the Fourth Proportional to 828,667.80, 1,163,284.20 and 828,667.80

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Solution

The fourth proportional to 828,667.80, 1,163,284.20 and 828,667.80 is: 1,163,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,667.80 : 1,163,284.20 = 828,667.80 : x
  2. Step 2: Convert to fraction form
    828,667.80/1,163,284.20 = 828,667.80/x
  3. Step 3: Cross multiply
    828,667.80x = 1,163,284.20 × 828,667.80
  4. Step 4: Simplify right side
    828,667.80x = 963,976,158,788.76
  5. Step 5: Solve for x
    x = 963,976,158,788.76/828,667.80
  6. Step 6: Final answer
    x = 1,163,284.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.