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Finding the Fourth Proportional to 466,046.84, 699,068.09 and 146,222.12

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Solution

The fourth proportional to 466,046.84, 699,068.09 and 146,222.12 is: 219,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,046.84 : 699,068.09 = 146,222.12 : x
  2. Step 2: Convert to fraction form
    466,046.84/699,068.09 = 146,222.12/x
  3. Step 3: Cross multiply
    466,046.84x = 699,068.09 × 146,222.12
  4. Step 4: Simplify right side
    466,046.84x = 102,219,215,014.37
  5. Step 5: Solve for x
    x = 102,219,215,014.37/466,046.84
  6. Step 6: Final answer
    x = 219,332.49

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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.