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Finding the Fourth Proportional to 467,853.40, 701,780.10 and 418,864.60

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Solution

The fourth proportional to 467,853.40, 701,780.10 and 418,864.60 is: 628,296.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,853.40 : 701,780.10 = 418,864.60 : x
  2. Step 2: Convert to fraction form
    467,853.40/701,780.10 = 418,864.60/x
  3. Step 3: Cross multiply
    467,853.40x = 701,780.10 × 418,864.60
  4. Step 4: Simplify right side
    467,853.40x = 293,950,840,874.46
  5. Step 5: Solve for x
    x = 293,950,840,874.46/467,853.40
  6. Step 6: Final answer
    x = 628,296.90

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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.