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Finding the Fourth Proportional to 411,117.24, 616,800.06 and 195,141.72

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Solution

The fourth proportional to 411,117.24, 616,800.06 and 195,141.72 is: 292,771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,117.24 : 616,800.06 = 195,141.72 : x
  2. Step 2: Convert to fraction form
    411,117.24/616,800.06 = 195,141.72/x
  3. Step 3: Cross multiply
    411,117.24x = 616,800.06 × 195,141.72
  4. Step 4: Simplify right side
    411,117.24x = 120,363,424,604.50
  5. Step 5: Solve for x
    x = 120,363,424,604.50/411,117.24
  6. Step 6: Final answer
    x = 292,771.53

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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.