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Finding the Fourth Proportional to 568,210.72, 852,094.56 and 213,031.20

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Solution

The fourth proportional to 568,210.72, 852,094.56 and 213,031.20 is: 319,463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,210.72 : 852,094.56 = 213,031.20 : x
  2. Step 2: Convert to fraction form
    568,210.72/852,094.56 = 213,031.20/x
  3. Step 3: Cross multiply
    568,210.72x = 852,094.56 × 213,031.20
  4. Step 4: Simplify right side
    568,210.72x = 181,522,726,630.27
  5. Step 5: Solve for x
    x = 181,522,726,630.27/568,210.72
  6. Step 6: Final answer
    x = 319,463.75

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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.