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Finding the Fourth Proportional to 477,124.47, 715,689.81 and 140,163.75

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Solution

The fourth proportional to 477,124.47, 715,689.81 and 140,163.75 is: 210,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,124.47 : 715,689.81 = 140,163.75 : x
  2. Step 2: Convert to fraction form
    477,124.47/715,689.81 = 140,163.75/x
  3. Step 3: Cross multiply
    477,124.47x = 715,689.81 × 140,163.75
  4. Step 4: Simplify right side
    477,124.47x = 100,313,767,606.39
  5. Step 5: Solve for x
    x = 100,313,767,606.39/477,124.47
  6. Step 6: Final answer
    x = 210,246.54

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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.