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Finding the Fourth Proportional to 295,177.72, 407,376.66 and 180,523.48

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Solution

The fourth proportional to 295,177.72, 407,376.66 and 180,523.48 is: 249,141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,177.72 : 407,376.66 = 180,523.48 : x
  2. Step 2: Convert to fraction form
    295,177.72/407,376.66 = 180,523.48/x
  3. Step 3: Cross multiply
    295,177.72x = 407,376.66 × 180,523.48
  4. Step 4: Simplify right side
    295,177.72x = 73,541,052,333.98
  5. Step 5: Solve for x
    x = 73,541,052,333.98/295,177.72
  6. Step 6: Final answer
    x = 249,141.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.