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Finding the Fourth Proportional to 511,739.20, 767,666.40 and 156,750.40

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Solution

The fourth proportional to 511,739.20, 767,666.40 and 156,750.40 is: 235,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,739.20 : 767,666.40 = 156,750.40 : x
  2. Step 2: Convert to fraction form
    511,739.20/767,666.40 = 156,750.40/x
  3. Step 3: Cross multiply
    511,739.20x = 767,666.40 × 156,750.40
  4. Step 4: Simplify right side
    511,739.20x = 120,332,015,266.56
  5. Step 5: Solve for x
    x = 120,332,015,266.56/511,739.20
  6. Step 6: Final answer
    x = 235,143.24

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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.