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Finding the Fourth Proportional to 1,608,964.80, 2,413,771.20 and 471,724.80

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Solution

The fourth proportional to 1,608,964.80, 2,413,771.20 and 471,724.80 is: 707,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608,964.80 : 2,413,771.20 = 471,724.80 : x
  2. Step 2: Convert to fraction form
    1,608,964.80/2,413,771.20 = 471,724.80/x
  3. Step 3: Cross multiply
    1,608,964.80x = 2,413,771.20 × 471,724.80
  4. Step 4: Simplify right side
    1,608,964.80x = 1,138,635,736,565.76
  5. Step 5: Solve for x
    x = 1,138,635,736,565.76/1,608,964.80
  6. Step 6: Final answer
    x = 707,682.19

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