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Finding the Fourth Proportional to 523,261.80, 722,092.08 and 293,820.90

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Solution

The fourth proportional to 523,261.80, 722,092.08 and 293,820.90 is: 405,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,261.80 : 722,092.08 = 293,820.90 : x
  2. Step 2: Convert to fraction form
    523,261.80/722,092.08 = 293,820.90/x
  3. Step 3: Cross multiply
    523,261.80x = 722,092.08 × 293,820.90
  4. Step 4: Simplify right side
    523,261.80x = 212,165,744,828.47
  5. Step 5: Solve for x
    x = 212,165,744,828.47/523,261.80
  6. Step 6: Final answer
    x = 405,467.67

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Why These Related Problems?

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