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Finding the Fourth Proportional to 397,881.82, 596,829.06 and 221,509.90

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Solution

The fourth proportional to 397,881.82, 596,829.06 and 221,509.90 is: 332,268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,881.82 : 596,829.06 = 221,509.90 : x
  2. Step 2: Convert to fraction form
    397,881.82/596,829.06 = 221,509.90/x
  3. Step 3: Cross multiply
    397,881.82x = 596,829.06 × 221,509.90
  4. Step 4: Simplify right side
    397,881.82x = 132,203,545,397.69
  5. Step 5: Solve for x
    x = 132,203,545,397.69/397,881.82
  6. Step 6: Final answer
    x = 332,268.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.