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Finding the Fourth Proportional to 477,351.63, 658,808.24 and 308,077.83

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Solution

The fourth proportional to 477,351.63, 658,808.24 and 308,077.83 is: 425,188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,351.63 : 658,808.24 = 308,077.83 : x
  2. Step 2: Convert to fraction form
    477,351.63/658,808.24 = 308,077.83/x
  3. Step 3: Cross multiply
    477,351.63x = 658,808.24 × 308,077.83
  4. Step 4: Simplify right side
    477,351.63x = 202,964,211,424.93
  5. Step 5: Solve for x
    x = 202,964,211,424.93/477,351.63
  6. Step 6: Final answer
    x = 425,188.06

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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.