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Finding the Fourth Proportional to 511,669.08, 767,505.42 and 156,681.54

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Solution

The fourth proportional to 511,669.08, 767,505.42 and 156,681.54 is: 235,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,669.08 : 767,505.42 = 156,681.54 : x
  2. Step 2: Convert to fraction form
    511,669.08/767,505.42 = 156,681.54/x
  3. Step 3: Cross multiply
    511,669.08x = 767,505.42 × 156,681.54
  4. Step 4: Simplify right side
    511,669.08x = 120,253,931,163.95
  5. Step 5: Solve for x
    x = 120,253,931,163.95/511,669.08
  6. Step 6: Final answer
    x = 235,022.86

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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.