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Finding the Fourth Proportional to 477,124.08, 715,773.60 and 196,488.24

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Solution

The fourth proportional to 477,124.08, 715,773.60 and 196,488.24 is: 294,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,124.08 : 715,773.60 = 196,488.24 : x
  2. Step 2: Convert to fraction form
    477,124.08/715,773.60 = 196,488.24/x
  3. Step 3: Cross multiply
    477,124.08x = 715,773.60 × 196,488.24
  4. Step 4: Simplify right side
    477,124.08x = 140,641,094,902.46
  5. Step 5: Solve for x
    x = 140,641,094,902.46/477,124.08
  6. Step 6: Final answer
    x = 294,768.39

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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.