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Finding the Fourth Proportional to 410,037.09, 565,851.42 and 228,749.01

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Solution

The fourth proportional to 410,037.09, 565,851.42 and 228,749.01 is: 315,673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,037.09 : 565,851.42 = 228,749.01 : x
  2. Step 2: Convert to fraction form
    410,037.09/565,851.42 = 228,749.01/x
  3. Step 3: Cross multiply
    410,037.09x = 565,851.42 × 228,749.01
  4. Step 4: Simplify right side
    410,037.09x = 129,437,954,627.92
  5. Step 5: Solve for x
    x = 129,437,954,627.92/410,037.09
  6. Step 6: Final answer
    x = 315,673.78

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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.