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Finding the Fourth Proportional to 457,261.78, 631,240.05 and 304,554.10

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Solution

The fourth proportional to 457,261.78, 631,240.05 and 304,554.10 is: 420,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,261.78 : 631,240.05 = 304,554.10 : x
  2. Step 2: Convert to fraction form
    457,261.78/631,240.05 = 304,554.10/x
  3. Step 3: Cross multiply
    457,261.78x = 631,240.05 × 304,554.10
  4. Step 4: Simplify right side
    457,261.78x = 192,246,745,311.71
  5. Step 5: Solve for x
    x = 192,246,745,311.71/457,261.78
  6. Step 6: Final answer
    x = 420,430.38

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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.