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Finding the Fourth Proportional to 477,200.91, 715,276.41 and 196,565.07

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Solution

The fourth proportional to 477,200.91, 715,276.41 and 196,565.07 is: 294,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,200.91 : 715,276.41 = 196,565.07 : x
  2. Step 2: Convert to fraction form
    477,200.91/715,276.41 = 196,565.07/x
  3. Step 3: Cross multiply
    477,200.91x = 715,276.41 × 196,565.07
  4. Step 4: Simplify right side
    477,200.91x = 140,598,356,618.17
  5. Step 5: Solve for x
    x = 140,598,356,618.17/477,200.91
  6. Step 6: Final answer
    x = 294,631.37

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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.