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Finding the Fourth Proportional to 548,416.80, 822,884.40 and 233,143.20

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Solution

The fourth proportional to 548,416.80, 822,884.40 and 233,143.20 is: 349,824.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,416.80 : 822,884.40 = 233,143.20 : x
  2. Step 2: Convert to fraction form
    548,416.80/822,884.40 = 233,143.20/x
  3. Step 3: Cross multiply
    548,416.80x = 822,884.40 × 233,143.20
  4. Step 4: Simplify right side
    548,416.80x = 191,849,902,246.08
  5. Step 5: Solve for x
    x = 191,849,902,246.08/548,416.80
  6. Step 6: Final answer
    x = 349,824.99

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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.