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Finding the Fourth Proportional to 565,967.14, 781,145.55 and 324,411.49

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Solution

The fourth proportional to 565,967.14, 781,145.55 and 324,411.49 is: 447,751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,967.14 : 781,145.55 = 324,411.49 : x
  2. Step 2: Convert to fraction form
    565,967.14/781,145.55 = 324,411.49/x
  3. Step 3: Cross multiply
    565,967.14x = 781,145.55 × 324,411.49
  4. Step 4: Simplify right side
    565,967.14x = 253,412,591,782.37
  5. Step 5: Solve for x
    x = 253,412,591,782.37/565,967.14
  6. Step 6: Final answer
    x = 447,751.42

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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.