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Finding the Fourth Proportional to 481,394.32, 664,331.16 and 277,332.64

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Solution

The fourth proportional to 481,394.32, 664,331.16 and 277,332.64 is: 382,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,394.32 : 664,331.16 = 277,332.64 : x
  2. Step 2: Convert to fraction form
    481,394.32/664,331.16 = 277,332.64/x
  3. Step 3: Cross multiply
    481,394.32x = 664,331.16 × 277,332.64
  4. Step 4: Simplify right side
    481,394.32x = 184,240,714,437.06
  5. Step 5: Solve for x
    x = 184,240,714,437.06/481,394.32
  6. Step 6: Final answer
    x = 382,723.07

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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.