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Finding the Fourth Proportional to 314,863.77, 472,186.29 and 104,452.50

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Solution

The fourth proportional to 314,863.77, 472,186.29 and 104,452.50 is: 156,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,863.77 : 472,186.29 = 104,452.50 : x
  2. Step 2: Convert to fraction form
    314,863.77/472,186.29 = 104,452.50/x
  3. Step 3: Cross multiply
    314,863.77x = 472,186.29 × 104,452.50
  4. Step 4: Simplify right side
    314,863.77x = 49,321,038,456.23
  5. Step 5: Solve for x
    x = 49,321,038,456.23/314,863.77
  6. Step 6: Final answer
    x = 156,642.47

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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.