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Finding the Fourth Proportional to 407,166.92, 610,353.26 and 193,877.52

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Solution

The fourth proportional to 407,166.92, 610,353.26 and 193,877.52 is: 290,627.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,166.92 : 610,353.26 = 193,877.52 : x
  2. Step 2: Convert to fraction form
    407,166.92/610,353.26 = 193,877.52/x
  3. Step 3: Cross multiply
    407,166.92x = 610,353.26 × 193,877.52
  4. Step 4: Simplify right side
    407,166.92x = 118,333,776,372.72
  5. Step 5: Solve for x
    x = 118,333,776,372.72/407,166.92
  6. Step 6: Final answer
    x = 290,627.19

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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.