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Finding the Fourth Proportional to 473,902.20, 710,853.30 and 414,853.20

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Solution

The fourth proportional to 473,902.20, 710,853.30 and 414,853.20 is: 622,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,902.20 : 710,853.30 = 414,853.20 : x
  2. Step 2: Convert to fraction form
    473,902.20/710,853.30 = 414,853.20/x
  3. Step 3: Cross multiply
    473,902.20x = 710,853.30 × 414,853.20
  4. Step 4: Simplify right side
    473,902.20x = 294,899,766,235.56
  5. Step 5: Solve for x
    x = 294,899,766,235.56/473,902.20
  6. Step 6: Final answer
    x = 622,279.80

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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.