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Finding the Fourth Proportional to 523,335.20, 722,215.84 and 293,910.80

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Solution

The fourth proportional to 523,335.20, 722,215.84 and 293,910.80 is: 405,604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,335.20 : 722,215.84 = 293,910.80 : x
  2. Step 2: Convert to fraction form
    523,335.20/722,215.84 = 293,910.80/x
  3. Step 3: Cross multiply
    523,335.20x = 722,215.84 × 293,910.80
  4. Step 4: Simplify right side
    523,335.20x = 212,267,035,307.07
  5. Step 5: Solve for x
    x = 212,267,035,307.07/523,335.20
  6. Step 6: Final answer
    x = 405,604.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.