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Finding the Fourth Proportional to 477,100.08, 715,737.60 and 196,464.24

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Solution

The fourth proportional to 477,100.08, 715,737.60 and 196,464.24 is: 294,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,100.08 : 715,737.60 = 196,464.24 : x
  2. Step 2: Convert to fraction form
    477,100.08/715,737.60 = 196,464.24/x
  3. Step 3: Cross multiply
    477,100.08x = 715,737.60 × 196,464.24
  4. Step 4: Simplify right side
    477,100.08x = 140,616,843,623.42
  5. Step 5: Solve for x
    x = 140,616,843,623.42/477,100.08
  6. Step 6: Final answer
    x = 294,732.38

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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.