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Finding the Fourth Proportional to 477,164.82, 658,224.63 and 302,415.33

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Solution

The fourth proportional to 477,164.82, 658,224.63 and 302,415.33 is: 417,166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,164.82 : 658,224.63 = 302,415.33 : x
  2. Step 2: Convert to fraction form
    477,164.82/658,224.63 = 302,415.33/x
  3. Step 3: Cross multiply
    477,164.82x = 658,224.63 × 302,415.33
  4. Step 4: Simplify right side
    477,164.82x = 199,057,218,695.58
  5. Step 5: Solve for x
    x = 199,057,218,695.58/477,164.82
  6. Step 6: Final answer
    x = 417,166.59

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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.