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Finding the Fourth Proportional to 548,862.40, 822,943.20 and 233,156.80

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Solution

The fourth proportional to 548,862.40, 822,943.20 and 233,156.80 is: 349,586.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,862.40 : 822,943.20 = 233,156.80 : x
  2. Step 2: Convert to fraction form
    548,862.40/822,943.20 = 233,156.80/x
  3. Step 3: Cross multiply
    548,862.40x = 822,943.20 × 233,156.80
  4. Step 4: Simplify right side
    548,862.40x = 191,874,803,093.76
  5. Step 5: Solve for x
    x = 191,874,803,093.76/548,862.40
  6. Step 6: Final answer
    x = 349,586.35

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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.