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Finding the Fourth Proportional to 477,553.08, 716,329.62 and 196,761.72

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Solution

The fourth proportional to 477,553.08, 716,329.62 and 196,761.72 is: 295,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,553.08 : 716,329.62 = 196,761.72 : x
  2. Step 2: Convert to fraction form
    477,553.08/716,329.62 = 196,761.72/x
  3. Step 3: Cross multiply
    477,553.08x = 716,329.62 × 196,761.72
  4. Step 4: Simplify right side
    477,553.08x = 140,946,248,118.15
  5. Step 5: Solve for x
    x = 140,946,248,118.15/477,553.08
  6. Step 6: Final answer
    x = 295,142.58

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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.