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Finding the Fourth Proportional to 331,666.28, 457,235.72 and 280,473.38

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Solution

The fourth proportional to 331,666.28, 457,235.72 and 280,473.38 is: 386,661.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,666.28 : 457,235.72 = 280,473.38 : x
  2. Step 2: Convert to fraction form
    331,666.28/457,235.72 = 280,473.38/x
  3. Step 3: Cross multiply
    331,666.28x = 457,235.72 × 280,473.38
  4. Step 4: Simplify right side
    331,666.28x = 128,242,447,845.13
  5. Step 5: Solve for x
    x = 128,242,447,845.13/331,666.28
  6. Step 6: Final answer
    x = 386,661.10

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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.