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Finding the Fourth Proportional to 385,192.92, 577,861.76 and 174,845.64

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Solution

The fourth proportional to 385,192.92, 577,861.76 and 174,845.64 is: 262,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,192.92 : 577,861.76 = 174,845.64 : x
  2. Step 2: Convert to fraction form
    385,192.92/577,861.76 = 174,845.64/x
  3. Step 3: Cross multiply
    385,192.92x = 577,861.76 × 174,845.64
  4. Step 4: Simplify right side
    385,192.92x = 101,036,609,258.73
  5. Step 5: Solve for x
    x = 101,036,609,258.73/385,192.92
  6. Step 6: Final answer
    x = 262,301.31

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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.