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Finding the Fourth Proportional to 400,253.14, 599,417.69 and 228,955.52

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Solution

The fourth proportional to 400,253.14, 599,417.69 and 228,955.52 is: 342,882.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,253.14 : 599,417.69 = 228,955.52 : x
  2. Step 2: Convert to fraction form
    400,253.14/599,417.69 = 228,955.52/x
  3. Step 3: Cross multiply
    400,253.14x = 599,417.69 × 228,955.52
  4. Step 4: Simplify right side
    400,253.14x = 137,239,985,627.87
  5. Step 5: Solve for x
    x = 137,239,985,627.87/400,253.14
  6. Step 6: Final answer
    x = 342,882.97

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1.5x scale

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.