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Finding the Fourth Proportional to 548,388.80, 822,842.40 and 233,115.20

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Solution

The fourth proportional to 548,388.80, 822,842.40 and 233,115.20 is: 349,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,388.80 : 822,842.40 = 233,115.20 : x
  2. Step 2: Convert to fraction form
    548,388.80/822,842.40 = 233,115.20/x
  3. Step 3: Cross multiply
    548,388.80x = 822,842.40 × 233,115.20
  4. Step 4: Simplify right side
    548,388.80x = 191,817,070,644.48
  5. Step 5: Solve for x
    x = 191,817,070,644.48/548,388.80
  6. Step 6: Final answer
    x = 349,782.98

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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.