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Finding the Fourth Proportional to 541,978.40, 813,889.20 and 401,895.20

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Solution

The fourth proportional to 541,978.40, 813,889.20 and 401,895.20 is: 603,526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,978.40 : 813,889.20 = 401,895.20 : x
  2. Step 2: Convert to fraction form
    541,978.40/813,889.20 = 401,895.20/x
  3. Step 3: Cross multiply
    541,978.40x = 813,889.20 × 401,895.20
  4. Step 4: Simplify right side
    541,978.40x = 327,098,162,811.84
  5. Step 5: Solve for x
    x = 327,098,162,811.84/541,978.40
  6. Step 6: Final answer
    x = 603,526.20

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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.