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Finding the Fourth Proportional to 504,058.14, 756,062.10 and 188,491.86

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Solution

The fourth proportional to 504,058.14, 756,062.10 and 188,491.86 is: 282,728.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,058.14 : 756,062.10 = 188,491.86 : x
  2. Step 2: Convert to fraction form
    504,058.14/756,062.10 = 188,491.86/x
  3. Step 3: Cross multiply
    504,058.14x = 756,062.10 × 188,491.86
  4. Step 4: Simplify right side
    504,058.14x = 142,511,551,504.51
  5. Step 5: Solve for x
    x = 142,511,551,504.51/504,058.14
  6. Step 6: Final answer
    x = 282,728.40

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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.