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Finding the Fourth Proportional to 568,742.60, 852,457.71 and 213,530.06

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Solution

The fourth proportional to 568,742.60, 852,457.71 and 213,530.06 is: 320,048.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,742.60 : 852,457.71 = 213,530.06 : x
  2. Step 2: Convert to fraction form
    568,742.60/852,457.71 = 213,530.06/x
  3. Step 3: Cross multiply
    568,742.60x = 852,457.71 × 213,530.06
  4. Step 4: Simplify right side
    568,742.60x = 182,025,345,963.76
  5. Step 5: Solve for x
    x = 182,025,345,963.76/568,742.60
  6. Step 6: Final answer
    x = 320,048.73

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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.