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Finding the Fourth Proportional to 514,747.71, 772,224.84 and 177,800.67

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Solution

The fourth proportional to 514,747.71, 772,224.84 and 177,800.67 is: 266,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,747.71 : 772,224.84 = 177,800.67 : x
  2. Step 2: Convert to fraction form
    514,747.71/772,224.84 = 177,800.67/x
  3. Step 3: Cross multiply
    514,747.71x = 772,224.84 × 177,800.67
  4. Step 4: Simplify right side
    514,747.71x = 137,302,093,942.64
  5. Step 5: Solve for x
    x = 137,302,093,942.64/514,747.71
  6. Step 6: Final answer
    x = 266,736.68

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1.5x scale

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.