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Finding the Fourth Proportional to 1,964,602.89, 2,947,394.78 and 685,228.75

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Solution

The fourth proportional to 1,964,602.89, 2,947,394.78 and 685,228.75 is: 1,028,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964,602.89 : 2,947,394.78 = 685,228.75 : x
  2. Step 2: Convert to fraction form
    1,964,602.89/2,947,394.78 = 685,228.75/x
  3. Step 3: Cross multiply
    1,964,602.89x = 2,947,394.78 × 685,228.75
  4. Step 4: Simplify right side
    1,964,602.89x = 2,019,639,635,200.51
  5. Step 5: Solve for x
    x = 2,019,639,635,200.51/1,964,602.89
  6. Step 6: Final answer
    x = 1,028,014.18

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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.