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Finding the Fourth Proportional to 512,435.40, 768,768.30 and 157,465.80

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Solution

The fourth proportional to 512,435.40, 768,768.30 and 157,465.80 is: 236,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,435.40 : 768,768.30 = 157,465.80 : x
  2. Step 2: Convert to fraction form
    512,435.40/768,768.30 = 157,465.80/x
  3. Step 3: Cross multiply
    512,435.40x = 768,768.30 × 157,465.80
  4. Step 4: Simplify right side
    512,435.40x = 121,054,715,374.14
  5. Step 5: Solve for x
    x = 121,054,715,374.14/512,435.40
  6. Step 6: Final answer
    x = 236,234.10

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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.