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Finding the Fourth Proportional to 413,462.87, 619,363.91 and 188,513.87

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Solution

The fourth proportional to 413,462.87, 619,363.91 and 188,513.87 is: 282,392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,462.87 : 619,363.91 = 188,513.87 : x
  2. Step 2: Convert to fraction form
    413,462.87/619,363.91 = 188,513.87/x
  3. Step 3: Cross multiply
    413,462.87x = 619,363.91 × 188,513.87
  4. Step 4: Simplify right side
    413,462.87x = 116,758,683,573.04
  5. Step 5: Solve for x
    x = 116,758,683,573.04/413,462.87
  6. Step 6: Final answer
    x = 282,392.19

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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.