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Finding the Fourth Proportional to 1,428,843.38, 1,971,829.31 and 784,323.54

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Solution

The fourth proportional to 1,428,843.38, 1,971,829.31 and 784,323.54 is: 1,082,380.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,843.38 : 1,971,829.31 = 784,323.54 : x
  2. Step 2: Convert to fraction form
    1,428,843.38/1,971,829.31 = 784,323.54/x
  3. Step 3: Cross multiply
    1,428,843.38x = 1,971,829.31 × 784,323.54
  4. Step 4: Simplify right side
    1,428,843.38x = 1,546,552,140,773.34
  5. Step 5: Solve for x
    x = 1,546,552,140,773.34/1,428,843.38
  6. Step 6: Final answer
    x = 1,082,380.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.