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Finding the Fourth Proportional to 534,713.80, 801,422.70 and 309,641.80

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Solution

The fourth proportional to 534,713.80, 801,422.70 and 309,641.80 is: 464,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,713.80 : 801,422.70 = 309,641.80 : x
  2. Step 2: Convert to fraction form
    534,713.80/801,422.70 = 309,641.80/x
  3. Step 3: Cross multiply
    534,713.80x = 801,422.70 × 309,641.80
  4. Step 4: Simplify right side
    534,713.80x = 248,153,967,388.86
  5. Step 5: Solve for x
    x = 248,153,967,388.86/534,713.80
  6. Step 6: Final answer
    x = 464,087.46

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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.