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Finding the Fourth Proportional to 1,468,978.80, 2,203,775.40 and 471,807.60

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Solution

The fourth proportional to 1,468,978.80, 2,203,775.40 and 471,807.60 is: 707,810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468,978.80 : 2,203,775.40 = 471,807.60 : x
  2. Step 2: Convert to fraction form
    1,468,978.80/2,203,775.40 = 471,807.60/x
  3. Step 3: Cross multiply
    1,468,978.80x = 2,203,775.40 × 471,807.60
  4. Step 4: Simplify right side
    1,468,978.80x = 1,039,757,982,413.04
  5. Step 5: Solve for x
    x = 1,039,757,982,413.04/1,468,978.80
  6. Step 6: Final answer
    x = 707,810.07

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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.