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Finding the Fourth Proportional to 548,858.40, 822,937.20 and 233,152.80

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Solution

The fourth proportional to 548,858.40, 822,937.20 and 233,152.80 is: 349,580.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,858.40 : 822,937.20 = 233,152.80 : x
  2. Step 2: Convert to fraction form
    548,858.40/822,937.20 = 233,152.80/x
  3. Step 3: Cross multiply
    548,858.40x = 822,937.20 × 233,152.80
  4. Step 4: Simplify right side
    548,858.40x = 191,870,112,404.16
  5. Step 5: Solve for x
    x = 191,870,112,404.16/548,858.40
  6. Step 6: Final answer
    x = 349,580.35

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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.