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Finding the Fourth Proportional to 281,666.70, 421,722.45 and 219,458.70

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Solution

The fourth proportional to 281,666.70, 421,722.45 and 219,458.70 is: 328,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,666.70 : 421,722.45 = 219,458.70 : x
  2. Step 2: Convert to fraction form
    281,666.70/421,722.45 = 219,458.70/x
  3. Step 3: Cross multiply
    281,666.70x = 421,722.45 × 219,458.70
  4. Step 4: Simplify right side
    281,666.70x = 92,550,660,637.82
  5. Step 5: Solve for x
    x = 92,550,660,637.82/281,666.70
  6. Step 6: Final answer
    x = 328,582.19

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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.