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Finding the Fourth Proportional to 511,670.52, 767,507.64 and 156,683.10

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Solution

The fourth proportional to 511,670.52, 767,507.64 and 156,683.10 is: 235,025.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,670.52 : 767,507.64 = 156,683.10 : x
  2. Step 2: Convert to fraction form
    511,670.52/767,507.64 = 156,683.10/x
  3. Step 3: Cross multiply
    511,670.52x = 767,507.64 × 156,683.10
  4. Step 4: Simplify right side
    511,670.52x = 120,255,476,308.88
  5. Step 5: Solve for x
    x = 120,255,476,308.88/511,670.52
  6. Step 6: Final answer
    x = 235,025.22

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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.