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Finding the Fourth Proportional to 477,367.82, 658,772.25 and 262,509.34

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Solution

The fourth proportional to 477,367.82, 658,772.25 and 262,509.34 is: 362,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,367.82 : 658,772.25 = 262,509.34 : x
  2. Step 2: Convert to fraction form
    477,367.82/658,772.25 = 262,509.34/x
  3. Step 3: Cross multiply
    477,367.82x = 658,772.25 × 262,509.34
  4. Step 4: Simplify right side
    477,367.82x = 172,933,868,557.82
  5. Step 5: Solve for x
    x = 172,933,868,557.82/477,367.82
  6. Step 6: Final answer
    x = 362,265.45

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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.