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Finding the Fourth Proportional to 413,036.77, 619,305.90 and 185,290.87

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Solution

The fourth proportional to 413,036.77, 619,305.90 and 185,290.87 is: 277,824.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,036.77 : 619,305.90 = 185,290.87 : x
  2. Step 2: Convert to fraction form
    413,036.77/619,305.90 = 185,290.87/x
  3. Step 3: Cross multiply
    413,036.77x = 619,305.90 × 185,290.87
  4. Step 4: Simplify right side
    413,036.77x = 114,751,729,007.13
  5. Step 5: Solve for x
    x = 114,751,729,007.13/413,036.77
  6. Step 6: Final answer
    x = 277,824.49

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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.