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Finding the Fourth Proportional to 638,551, 957,826.86 and 195,319

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Solution

The fourth proportional to 638,551, 957,826.86 and 195,319 is: 292,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,551 : 957,826.86 = 195,319 : x
  2. Step 2: Convert to fraction form
    638,551/957,826.86 = 195,319/x
  3. Step 3: Cross multiply
    638,551x = 957,826.86 × 195,319
  4. Step 4: Simplify right side
    638,551x = 187,081,784,468.34
  5. Step 5: Solve for x
    x = 187,081,784,468.34/638,551
  6. Step 6: Final answer
    x = 292,978.61

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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.