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Finding the Fourth Proportional to 467,711.86, 645,426.64 and 295,722.40

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Solution

The fourth proportional to 467,711.86, 645,426.64 and 295,722.40 is: 408,086.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,711.86 : 645,426.64 = 295,722.40 : x
  2. Step 2: Convert to fraction form
    467,711.86/645,426.64 = 295,722.40/x
  3. Step 3: Cross multiply
    467,711.86x = 645,426.64 × 295,722.40
  4. Step 4: Simplify right side
    467,711.86x = 190,867,115,004.74
  5. Step 5: Solve for x
    x = 190,867,115,004.74/467,711.86
  6. Step 6: Final answer
    x = 408,086.97

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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.