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Finding the Fourth Proportional to 565,944.16, 781,113.92 and 324,388.64

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Solution

The fourth proportional to 565,944.16, 781,113.92 and 324,388.64 is: 447,719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,944.16 : 781,113.92 = 324,388.64 : x
  2. Step 2: Convert to fraction form
    565,944.16/781,113.92 = 324,388.64/x
  3. Step 3: Cross multiply
    565,944.16x = 781,113.92 × 324,388.64
  4. Step 4: Simplify right side
    565,944.16x = 253,384,482,193.87
  5. Step 5: Solve for x
    x = 253,384,482,193.87/565,944.16
  6. Step 6: Final answer
    x = 447,719.93

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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.