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Finding the Fourth Proportional to 548,005, 822,007.50 and 154,021

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Solution

The fourth proportional to 548,005, 822,007.50 and 154,021 is: 231,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,005 : 822,007.50 = 154,021 : x
  2. Step 2: Convert to fraction form
    548,005/822,007.50 = 154,021/x
  3. Step 3: Cross multiply
    548,005x = 822,007.50 × 154,021
  4. Step 4: Simplify right side
    548,005x = 126,606,417,157.50
  5. Step 5: Solve for x
    x = 126,606,417,157.50/548,005
  6. Step 6: Final answer
    x = 231,031.50

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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.