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Finding the Fourth Proportional to 511,667.02, 767,502.40 and 156,679.60

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Solution

The fourth proportional to 511,667.02, 767,502.40 and 156,679.60 is: 235,019.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,667.02 : 767,502.40 = 156,679.60 : x
  2. Step 2: Convert to fraction form
    511,667.02/767,502.40 = 156,679.60/x
  3. Step 3: Cross multiply
    511,667.02x = 767,502.40 × 156,679.60
  4. Step 4: Simplify right side
    511,667.02x = 120,251,969,031.04
  5. Step 5: Solve for x
    x = 120,251,969,031.04/511,667.02
  6. Step 6: Final answer
    x = 235,019.97

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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.