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Finding the Fourth Proportional to 457,082.63, 630,879.00 and 304,127.26

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Solution

The fourth proportional to 457,082.63, 630,879.00 and 304,127.26 is: 419,765.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,082.63 : 630,879.00 = 304,127.26 : x
  2. Step 2: Convert to fraction form
    457,082.63/630,879.00 = 304,127.26/x
  3. Step 3: Cross multiply
    457,082.63x = 630,879.00 × 304,127.26
  4. Step 4: Simplify right side
    457,082.63x = 191,867,498,943.87
  5. Step 5: Solve for x
    x = 191,867,498,943.87/457,082.63
  6. Step 6: Final answer
    x = 419,765.46

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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.