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Finding the Fourth Proportional to 548,192.96, 822,704.88 and 232,871.12

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Solution

The fourth proportional to 548,192.96, 822,704.88 and 232,871.12 is: 349,483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,192.96 : 822,704.88 = 232,871.12 : x
  2. Step 2: Convert to fraction form
    548,192.96/822,704.88 = 232,871.12/x
  3. Step 3: Cross multiply
    548,192.96x = 822,704.88 × 232,871.12
  4. Step 4: Simplify right side
    548,192.96x = 191,584,206,835.07
  5. Step 5: Solve for x
    x = 191,584,206,835.07/548,192.96
  6. Step 6: Final answer
    x = 349,483.16

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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.