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Finding the Fourth Proportional to 381,347.68, 526,260 and 211,582.08

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Solution

The fourth proportional to 381,347.68, 526,260 and 211,582.08 is: 291,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,347.68 : 526,260 = 211,582.08 : x
  2. Step 2: Convert to fraction form
    381,347.68/526,260 = 211,582.08/x
  3. Step 3: Cross multiply
    381,347.68x = 526,260 × 211,582.08
  4. Step 4: Simplify right side
    381,347.68x = 111,347,185,420.80
  5. Step 5: Solve for x
    x = 111,347,185,420.80/381,347.68
  6. Step 6: Final answer
    x = 291,983.38

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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.