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Finding the Fourth Proportional to 565,926.29, 780,943.50 and 324,153.44

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Solution

The fourth proportional to 565,926.29, 780,943.50 and 324,153.44 is: 447,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,926.29 : 780,943.50 = 324,153.44 : x
  2. Step 2: Convert to fraction form
    565,926.29/780,943.50 = 324,153.44/x
  3. Step 3: Cross multiply
    565,926.29x = 780,943.50 × 324,153.44
  4. Step 4: Simplify right side
    565,926.29x = 253,145,518,065.92
  5. Step 5: Solve for x
    x = 253,145,518,065.92/565,926.29
  6. Step 6: Final answer
    x = 447,311.82

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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.