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Finding the Fourth Proportional to 1,383,961.77, 1,909,823.94 and 811,383.30

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Solution

The fourth proportional to 1,383,961.77, 1,909,823.94 and 811,383.30 is: 1,119,683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,961.77 : 1,909,823.94 = 811,383.30 : x
  2. Step 2: Convert to fraction form
    1,383,961.77/1,909,823.94 = 811,383.30/x
  3. Step 3: Cross multiply
    1,383,961.77x = 1,909,823.94 × 811,383.30
  4. Step 4: Simplify right side
    1,383,961.77x = 1,549,599,250,856.20
  5. Step 5: Solve for x
    x = 1,549,599,250,856.20/1,383,961.77
  6. Step 6: Final answer
    x = 1,119,683.57

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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.