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Finding the Fourth Proportional to 477,264.96, 658,725.82 and 302,722.31

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Solution

The fourth proportional to 477,264.96, 658,725.82 and 302,722.31 is: 417,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,264.96 : 658,725.82 = 302,722.31 : x
  2. Step 2: Convert to fraction form
    477,264.96/658,725.82 = 302,722.31/x
  3. Step 3: Cross multiply
    477,264.96x = 658,725.82 × 302,722.31
  4. Step 4: Simplify right side
    477,264.96x = 199,411,002,777.05
  5. Step 5: Solve for x
    x = 199,411,002,777.05/477,264.96
  6. Step 6: Final answer
    x = 417,820.33

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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.