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Finding the Fourth Proportional to 465,610.16, 698,415.20 and 133,186.16

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Solution

The fourth proportional to 465,610.16, 698,415.20 and 133,186.16 is: 199,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,610.16 : 698,415.20 = 133,186.16 : x
  2. Step 2: Convert to fraction form
    465,610.16/698,415.20 = 133,186.16/x
  3. Step 3: Cross multiply
    465,610.16x = 698,415.20 × 133,186.16
  4. Step 4: Simplify right side
    465,610.16x = 93,019,238,573.63
  5. Step 5: Solve for x
    x = 93,019,238,573.63/465,610.16
  6. Step 6: Final answer
    x = 199,779.23

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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.