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Finding the Fourth Proportional to 477,594.35, 659,020.15 and 322,882.09

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Solution

The fourth proportional to 477,594.35, 659,020.15 and 322,882.09 is: 445,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,594.35 : 659,020.15 = 322,882.09 : x
  2. Step 2: Convert to fraction form
    477,594.35/659,020.15 = 322,882.09/x
  3. Step 3: Cross multiply
    477,594.35x = 659,020.15 × 322,882.09
  4. Step 4: Simplify right side
    477,594.35x = 212,785,803,384.11
  5. Step 5: Solve for x
    x = 212,785,803,384.11/477,594.35
  6. Step 6: Final answer
    x = 445,536.68

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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.