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Finding the Fourth Proportional to 565,927, 781,090.22 and 324,371.48

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Solution

The fourth proportional to 565,927, 781,090.22 and 324,371.48 is: 447,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,927 : 781,090.22 = 324,371.48 : x
  2. Step 2: Convert to fraction form
    565,927/781,090.22 = 324,371.48/x
  3. Step 3: Cross multiply
    565,927x = 781,090.22 × 324,371.48
  4. Step 4: Simplify right side
    565,927x = 253,363,390,674.93
  5. Step 5: Solve for x
    x = 253,363,390,674.93/565,927
  6. Step 6: Final answer
    x = 447,696.24

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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.