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Finding the Fourth Proportional to 477,086.40, 715,357.44 and 196,269.12

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Solution

The fourth proportional to 477,086.40, 715,357.44 and 196,269.12 is: 294,291.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,086.40 : 715,357.44 = 196,269.12 : x
  2. Step 2: Convert to fraction form
    477,086.40/715,357.44 = 196,269.12/x
  3. Step 3: Cross multiply
    477,086.40x = 715,357.44 × 196,269.12
  4. Step 4: Simplify right side
    477,086.40x = 140,402,575,234.25
  5. Step 5: Solve for x
    x = 140,402,575,234.25/477,086.40
  6. Step 6: Final answer
    x = 294,291.72

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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.