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Finding the Fourth Proportional to 511,203.85, 766,807.59 and 156,216.39

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Solution

The fourth proportional to 511,203.85, 766,807.59 and 156,216.39 is: 234,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,203.85 : 766,807.59 = 156,216.39 : x
  2. Step 2: Convert to fraction form
    511,203.85/766,807.59 = 156,216.39/x
  3. Step 3: Cross multiply
    511,203.85x = 766,807.59 × 156,216.39
  4. Step 4: Simplify right side
    511,203.85x = 119,787,911,244.68
  5. Step 5: Solve for x
    x = 119,787,911,244.68/511,203.85
  6. Step 6: Final answer
    x = 234,325.14

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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.