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Finding the Fourth Proportional to 477,551.83, 716,081.19 and 140,548.69

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Solution

The fourth proportional to 477,551.83, 716,081.19 and 140,548.69 is: 210,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,551.83 : 716,081.19 = 140,548.69 : x
  2. Step 2: Convert to fraction form
    477,551.83/716,081.19 = 140,548.69/x
  3. Step 3: Cross multiply
    477,551.83x = 716,081.19 × 140,548.69
  4. Step 4: Simplify right side
    477,551.83x = 100,644,273,188.14
  5. Step 5: Solve for x
    x = 100,644,273,188.14/477,551.83
  6. Step 6: Final answer
    x = 210,750.47

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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.