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Finding the Fourth Proportional to 565,948, 781,119.16 and 324,392.48

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Solution

The fourth proportional to 565,948, 781,119.16 and 324,392.48 is: 447,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,948 : 781,119.16 = 324,392.48 : x
  2. Step 2: Convert to fraction form
    565,948/781,119.16 = 324,392.48/x
  3. Step 3: Cross multiply
    565,948x = 781,119.16 × 324,392.48
  4. Step 4: Simplify right side
    565,948x = 253,389,181,487.92
  5. Step 5: Solve for x
    x = 253,389,181,487.92/565,948
  6. Step 6: Final answer
    x = 447,725.20

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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.