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Finding the Fourth Proportional to 466,048.84, 699,071.09 and 146,224.12

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Solution

The fourth proportional to 466,048.84, 699,071.09 and 146,224.12 is: 219,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,048.84 : 699,071.09 = 146,224.12 : x
  2. Step 2: Convert to fraction form
    466,048.84/699,071.09 = 146,224.12/x
  3. Step 3: Cross multiply
    466,048.84x = 699,071.09 × 146,224.12
  4. Step 4: Simplify right side
    466,048.84x = 102,221,054,952.69
  5. Step 5: Solve for x
    x = 102,221,054,952.69/466,048.84
  6. Step 6: Final answer
    x = 219,335.50

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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.