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Finding the Fourth Proportional to 342,861.64, 473,039.10 and 222,095.50

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Solution

The fourth proportional to 342,861.64, 473,039.10 and 222,095.50 is: 306,420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,861.64 : 473,039.10 = 222,095.50 : x
  2. Step 2: Convert to fraction form
    342,861.64/473,039.10 = 222,095.50/x
  3. Step 3: Cross multiply
    342,861.64x = 473,039.10 × 222,095.50
  4. Step 4: Simplify right side
    342,861.64x = 105,059,855,434.05
  5. Step 5: Solve for x
    x = 105,059,855,434.05/342,861.64
  6. Step 6: Final answer
    x = 306,420.56

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Why These Related Problems?

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