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Finding the Fourth Proportional to 421,502.17, 632,698.86 and 411,983.25

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Solution

The fourth proportional to 421,502.17, 632,698.86 and 411,983.25 is: 618,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,502.17 : 632,698.86 = 411,983.25 : x
  2. Step 2: Convert to fraction form
    421,502.17/632,698.86 = 411,983.25/x
  3. Step 3: Cross multiply
    421,502.17x = 632,698.86 × 411,983.25
  4. Step 4: Simplify right side
    421,502.17x = 260,661,332,614.10
  5. Step 5: Solve for x
    x = 260,661,332,614.10/421,502.17
  6. Step 6: Final answer
    x = 618,410.42

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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.