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Finding the Fourth Proportional to 457,858.91, 632,141.75 and 294,588.43

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Solution

The fourth proportional to 457,858.91, 632,141.75 and 294,588.43 is: 406,722.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,858.91 : 632,141.75 = 294,588.43 : x
  2. Step 2: Convert to fraction form
    457,858.91/632,141.75 = 294,588.43/x
  3. Step 3: Cross multiply
    457,858.91x = 632,141.75 × 294,588.43
  4. Step 4: Simplify right side
    457,858.91x = 186,221,645,669.95
  5. Step 5: Solve for x
    x = 186,221,645,669.95/457,858.91
  6. Step 6: Final answer
    x = 406,722.77

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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.