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Finding the Fourth Proportional to 6,398,314.80, 9,578,809.80 and 5,726,468.40

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Solution

The fourth proportional to 6,398,314.80, 9,578,809.80 and 5,726,468.40 is: 8,572,999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398,314.80 : 9,578,809.80 = 5,726,468.40 : x
  2. Step 2: Convert to fraction form
    6,398,314.80/9,578,809.80 = 5,726,468.40/x
  3. Step 3: Cross multiply
    6,398,314.80x = 9,578,809.80 × 5,726,468.40
  4. Step 4: Simplify right side
    6,398,314.80x = 54,852,751,629,310.33
  5. Step 5: Solve for x
    x = 54,852,751,629,310.33/6,398,314.80
  6. Step 6: Final answer
    x = 8,572,999.82

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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.