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Finding the Fourth Proportional to 381,155.20, 526,026.48 and 211,444

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Solution

The fourth proportional to 381,155.20, 526,026.48 and 211,444 is: 291,810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,155.20 : 526,026.48 = 211,444 : x
  2. Step 2: Convert to fraction form
    381,155.20/526,026.48 = 211,444/x
  3. Step 3: Cross multiply
    381,155.20x = 526,026.48 × 211,444
  4. Step 4: Simplify right side
    381,155.20x = 111,225,143,037.12
  5. Step 5: Solve for x
    x = 111,225,143,037.12/381,155.20
  6. Step 6: Final answer
    x = 291,810.64

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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.