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Finding the Fourth Proportional to 519,715.24, 779,600.34 and 164,756.94

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Solution

The fourth proportional to 519,715.24, 779,600.34 and 164,756.94 is: 247,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,715.24 : 779,600.34 = 164,756.94 : x
  2. Step 2: Convert to fraction form
    519,715.24/779,600.34 = 164,756.94/x
  3. Step 3: Cross multiply
    519,715.24x = 779,600.34 × 164,756.94
  4. Step 4: Simplify right side
    519,715.24x = 128,444,566,441.36
  5. Step 5: Solve for x
    x = 128,444,566,441.36/519,715.24
  6. Step 6: Final answer
    x = 247,144.12

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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.