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Finding the Fourth Proportional to 464,294.52, 696,422.34 and 148,744.44

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Solution

The fourth proportional to 464,294.52, 696,422.34 and 148,744.44 is: 223,110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,294.52 : 696,422.34 = 148,744.44 : x
  2. Step 2: Convert to fraction form
    464,294.52/696,422.34 = 148,744.44/x
  3. Step 3: Cross multiply
    464,294.52x = 696,422.34 × 148,744.44
  4. Step 4: Simplify right side
    464,294.52x = 103,588,950,966.79
  5. Step 5: Solve for x
    x = 103,588,950,966.79/464,294.52
  6. Step 6: Final answer
    x = 223,110.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.