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Finding the Fourth Proportional to 548,859.40, 822,938.70 and 233,153.80

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Solution

The fourth proportional to 548,859.40, 822,938.70 and 233,153.80 is: 349,581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,859.40 : 822,938.70 = 233,153.80 : x
  2. Step 2: Convert to fraction form
    548,859.40/822,938.70 = 233,153.80/x
  3. Step 3: Cross multiply
    548,859.40x = 822,938.70 × 233,153.80
  4. Step 4: Simplify right side
    548,859.40x = 191,871,285,072.06
  5. Step 5: Solve for x
    x = 191,871,285,072.06/548,859.40
  6. Step 6: Final answer
    x = 349,581.85

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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.