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Finding the Fourth Proportional to 632,099.61, 947,951.78 and 211,277.07

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Solution

The fourth proportional to 632,099.61, 947,951.78 and 211,277.07 is: 316,849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,099.61 : 947,951.78 = 211,277.07 : x
  2. Step 2: Convert to fraction form
    632,099.61/947,951.78 = 211,277.07/x
  3. Step 3: Cross multiply
    632,099.61x = 947,951.78 × 211,277.07
  4. Step 4: Simplify right side
    632,099.61x = 200,280,473,523.30
  5. Step 5: Solve for x
    x = 200,280,473,523.30/632,099.61
  6. Step 6: Final answer
    x = 316,849.54

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1.5x scale

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.