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Finding the Fourth Proportional to 649,717.76, 974,377.99 and 228,895.22

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Solution

The fourth proportional to 649,717.76, 974,377.99 and 228,895.22 is: 343,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,717.76 : 974,377.99 = 228,895.22 : x
  2. Step 2: Convert to fraction form
    649,717.76/974,377.99 = 228,895.22/x
  3. Step 3: Cross multiply
    649,717.76x = 974,377.99 × 228,895.22
  4. Step 4: Simplify right side
    649,717.76x = 223,030,462,164.82
  5. Step 5: Solve for x
    x = 223,030,462,164.82/649,717.76
  6. Step 6: Final answer
    x = 343,272.84

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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.