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Finding the Fourth Proportional to 562,953.12, 844,429.44 and 142,228.88

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Solution

The fourth proportional to 562,953.12, 844,429.44 and 142,228.88 is: 213,343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,953.12 : 844,429.44 = 142,228.88 : x
  2. Step 2: Convert to fraction form
    562,953.12/844,429.44 = 142,228.88/x
  3. Step 3: Cross multiply
    562,953.12x = 844,429.44 × 142,228.88
  4. Step 4: Simplify right side
    562,953.12x = 120,102,253,490.23
  5. Step 5: Solve for x
    x = 120,102,253,490.23/562,953.12
  6. Step 6: Final answer
    x = 213,343.26

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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.