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Finding the Fourth Proportional to 518,530.86, 777,262.10 and 198,595.44

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Solution

The fourth proportional to 518,530.86, 777,262.10 and 198,595.44 is: 297,688.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,530.86 : 777,262.10 = 198,595.44 : x
  2. Step 2: Convert to fraction form
    518,530.86/777,262.10 = 198,595.44/x
  3. Step 3: Cross multiply
    518,530.86x = 777,262.10 × 198,595.44
  4. Step 4: Simplify right side
    518,530.86x = 154,360,707,751.85
  5. Step 5: Solve for x
    x = 154,360,707,751.85/518,530.86
  6. Step 6: Final answer
    x = 297,688.57

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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.