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Finding the Fourth Proportional to 465,476.58, 698,269.58 and 165,999.74

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Solution

The fourth proportional to 465,476.58, 698,269.58 and 165,999.74 is: 249,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,476.58 : 698,269.58 = 165,999.74 : x
  2. Step 2: Convert to fraction form
    465,476.58/698,269.58 = 165,999.74/x
  3. Step 3: Cross multiply
    465,476.58x = 698,269.58 × 165,999.74
  4. Step 4: Simplify right side
    465,476.58x = 115,912,564,408.56
  5. Step 5: Solve for x
    x = 115,912,564,408.56/465,476.58
  6. Step 6: Final answer
    x = 249,019.11

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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.