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Finding the Fourth Proportional to 568,188.78, 852,061.68 and 213,009

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Solution

The fourth proportional to 568,188.78, 852,061.68 and 213,009 is: 319,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,188.78 : 852,061.68 = 213,009 : x
  2. Step 2: Convert to fraction form
    568,188.78/852,061.68 = 213,009/x
  3. Step 3: Cross multiply
    568,188.78x = 852,061.68 × 213,009
  4. Step 4: Simplify right side
    568,188.78x = 181,496,806,395.12
  5. Step 5: Solve for x
    x = 181,496,806,395.12/568,188.78
  6. Step 6: Final answer
    x = 319,430.47

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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.