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Finding the Fourth Proportional to 510,483.57, 765,697.41 and 155,467.86

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Solution

The fourth proportional to 510,483.57, 765,697.41 and 155,467.86 is: 233,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,483.57 : 765,697.41 = 155,467.86 : x
  2. Step 2: Convert to fraction form
    510,483.57/765,697.41 = 155,467.86/x
  3. Step 3: Cross multiply
    510,483.57x = 765,697.41 × 155,467.86
  4. Step 4: Simplify right side
    510,483.57x = 119,041,337,740.24
  5. Step 5: Solve for x
    x = 119,041,337,740.24/510,483.57
  6. Step 6: Final answer
    x = 233,193.28

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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.