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Finding the Fourth Proportional to 477,157.72, 658,478.42 and 262,299.14

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Solution

The fourth proportional to 477,157.72, 658,478.42 and 262,299.14 is: 361,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,157.72 : 658,478.42 = 262,299.14 : x
  2. Step 2: Convert to fraction form
    477,157.72/658,478.42 = 262,299.14/x
  3. Step 3: Cross multiply
    477,157.72x = 658,478.42 × 262,299.14
  4. Step 4: Simplify right side
    477,157.72x = 172,718,323,274.56
  5. Step 5: Solve for x
    x = 172,718,323,274.56/477,157.72
  6. Step 6: Final answer
    x = 361,973.23

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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.