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Finding the Fourth Proportional to 345,888.80, 477,245.16 and 209,919.68

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Solution

The fourth proportional to 345,888.80, 477,245.16 and 209,919.68 is: 289,639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,888.80 : 477,245.16 = 209,919.68 : x
  2. Step 2: Convert to fraction form
    345,888.80/477,245.16 = 209,919.68/x
  3. Step 3: Cross multiply
    345,888.80x = 477,245.16 × 209,919.68
  4. Step 4: Simplify right side
    345,888.80x = 100,183,151,268.75
  5. Step 5: Solve for x
    x = 100,183,151,268.75/345,888.80
  6. Step 6: Final answer
    x = 289,639.77

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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.