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Finding the Fourth Proportional to 477,188.16, 715,257.32 and 196,552.32

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Solution

The fourth proportional to 477,188.16, 715,257.32 and 196,552.32 is: 294,612.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,188.16 : 715,257.32 = 196,552.32 : x
  2. Step 2: Convert to fraction form
    477,188.16/715,257.32 = 196,552.32/x
  3. Step 3: Cross multiply
    477,188.16x = 715,257.32 × 196,552.32
  4. Step 4: Simplify right side
    477,188.16x = 140,585,485,642.98
  5. Step 5: Solve for x
    x = 140,585,485,642.98/477,188.16
  6. Step 6: Final answer
    x = 294,612.27

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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.