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Finding the Fourth Proportional to 413,203.71, 619,735.40 and 188,511.33

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Solution

The fourth proportional to 413,203.71, 619,735.40 and 188,511.33 is: 282,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,203.71 : 619,735.40 = 188,511.33 : x
  2. Step 2: Convert to fraction form
    413,203.71/619,735.40 = 188,511.33/x
  3. Step 3: Cross multiply
    413,203.71x = 619,735.40 × 188,511.33
  4. Step 4: Simplify right side
    413,203.71x = 116,827,143,559.53
  5. Step 5: Solve for x
    x = 116,827,143,559.53/413,203.71
  6. Step 6: Final answer
    x = 282,734.98

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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.