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Finding the Fourth Proportional to 649,394.22, 974,188.54 and 228,595.98

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Solution

The fourth proportional to 649,394.22, 974,188.54 and 228,595.98 is: 342,928.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,394.22 : 974,188.54 = 228,595.98 : x
  2. Step 2: Convert to fraction form
    649,394.22/974,188.54 = 228,595.98/x
  3. Step 3: Cross multiply
    649,394.22x = 974,188.54 × 228,595.98
  4. Step 4: Simplify right side
    649,394.22x = 222,695,584,006.07
  5. Step 5: Solve for x
    x = 222,695,584,006.07/649,394.22
  6. Step 6: Final answer
    x = 342,928.19

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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.