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Finding the Fourth Proportional to 514,955.92, 772,647 and 278,019.92

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Solution

The fourth proportional to 514,955.92, 772,647 and 278,019.92 is: 417,144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,955.92 : 772,647 = 278,019.92 : x
  2. Step 2: Convert to fraction form
    514,955.92/772,647 = 278,019.92/x
  3. Step 3: Cross multiply
    514,955.92x = 772,647 × 278,019.92
  4. Step 4: Simplify right side
    514,955.92x = 214,811,257,128.24
  5. Step 5: Solve for x
    x = 214,811,257,128.24/514,955.92
  6. Step 6: Final answer
    x = 417,144.94

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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.