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Finding the Fourth Proportional to 1,309,778.22, 1,964,667.78 and 589,278.46

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Solution

The fourth proportional to 1,309,778.22, 1,964,667.78 and 589,278.46 is: 883,917.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,778.22 : 1,964,667.78 = 589,278.46 : x
  2. Step 2: Convert to fraction form
    1,309,778.22/1,964,667.78 = 589,278.46/x
  3. Step 3: Cross multiply
    1,309,778.22x = 1,964,667.78 × 589,278.46
  4. Step 4: Simplify right side
    1,309,778.22x = 1,157,736,403,810.02
  5. Step 5: Solve for x
    x = 1,157,736,403,810.02/1,309,778.22
  6. Step 6: Final answer
    x = 883,917.89

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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.