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Finding the Fourth Proportional to 295,913.61, 408,385.67 and 181,191.69

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Solution

The fourth proportional to 295,913.61, 408,385.67 and 181,191.69 is: 250,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,913.61 : 408,385.67 = 181,191.69 : x
  2. Step 2: Convert to fraction form
    295,913.61/408,385.67 = 181,191.69/x
  3. Step 3: Cross multiply
    295,913.61x = 408,385.67 × 181,191.69
  4. Step 4: Simplify right side
    295,913.61x = 73,996,088,813.12
  5. Step 5: Solve for x
    x = 73,996,088,813.12/295,913.61
  6. Step 6: Final answer
    x = 250,059.77

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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.