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Finding the Fourth Proportional to 922,713.80, 1,382,904.30 and 822,403.40

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Solution

The fourth proportional to 922,713.80, 1,382,904.30 and 822,403.40 is: 1,232,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,713.80 : 1,382,904.30 = 822,403.40 : x
  2. Step 2: Convert to fraction form
    922,713.80/1,382,904.30 = 822,403.40/x
  3. Step 3: Cross multiply
    922,713.80x = 1,382,904.30 × 822,403.40
  4. Step 4: Simplify right side
    922,713.80x = 1,137,305,198,194.62
  5. Step 5: Solve for x
    x = 1,137,305,198,194.62/922,713.80
  6. Step 6: Final answer
    x = 1,232,565.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.