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Finding the Fourth Proportional to 406,947, 561,586.86 and 228,099

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Solution

The fourth proportional to 406,947, 561,586.86 and 228,099 is: 314,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,947 : 561,586.86 = 228,099 : x
  2. Step 2: Convert to fraction form
    406,947/561,586.86 = 228,099/x
  3. Step 3: Cross multiply
    406,947x = 561,586.86 × 228,099
  4. Step 4: Simplify right side
    406,947x = 128,097,401,179.14
  5. Step 5: Solve for x
    x = 128,097,401,179.14/406,947
  6. Step 6: Final answer
    x = 314,776.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.