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Finding the Fourth Proportional to 568,158.17, 852,203.84 and 213,142.46

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Solution

The fourth proportional to 568,158.17, 852,203.84 and 213,142.46 is: 319,701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,158.17 : 852,203.84 = 213,142.46 : x
  2. Step 2: Convert to fraction form
    568,158.17/852,203.84 = 213,142.46/x
  3. Step 3: Cross multiply
    568,158.17x = 852,203.84 × 213,142.46
  4. Step 4: Simplify right side
    568,158.17x = 181,640,817,552.32
  5. Step 5: Solve for x
    x = 181,640,817,552.32/568,158.17
  6. Step 6: Final answer
    x = 319,701.15

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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.