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Finding the Fourth Proportional to 514,727.61, 772,213.72 and 177,771.06

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Solution

The fourth proportional to 514,727.61, 772,213.72 and 177,771.06 is: 266,698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,727.61 : 772,213.72 = 177,771.06 : x
  2. Step 2: Convert to fraction form
    514,727.61/772,213.72 = 177,771.06/x
  3. Step 3: Cross multiply
    514,727.61x = 772,213.72 × 177,771.06
  4. Step 4: Simplify right side
    514,727.61x = 137,277,251,550.94
  5. Step 5: Solve for x
    x = 137,277,251,550.94/514,727.61
  6. Step 6: Final answer
    x = 266,698.83

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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.