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Finding the Fourth Proportional to 407,661.30, 611,200.35 and 182,837.70

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Solution

The fourth proportional to 407,661.30, 611,200.35 and 182,837.70 is: 274,125.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,661.30 : 611,200.35 = 182,837.70 : x
  2. Step 2: Convert to fraction form
    407,661.30/611,200.35 = 182,837.70/x
  3. Step 3: Cross multiply
    407,661.30x = 611,200.35 × 182,837.70
  4. Step 4: Simplify right side
    407,661.30x = 111,750,466,233.20
  5. Step 5: Solve for x
    x = 111,750,466,233.20/407,661.30
  6. Step 6: Final answer
    x = 274,125.77

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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.