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Finding the Fourth Proportional to 289,336.86, 434,672.33 and 277,379.64

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Solution

The fourth proportional to 289,336.86, 434,672.33 and 277,379.64 is: 416,708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,336.86 : 434,672.33 = 277,379.64 : x
  2. Step 2: Convert to fraction form
    289,336.86/434,672.33 = 277,379.64/x
  3. Step 3: Cross multiply
    289,336.86x = 434,672.33 × 277,379.64
  4. Step 4: Simplify right side
    289,336.86x = 120,569,253,026.46
  5. Step 5: Solve for x
    x = 120,569,253,026.46/289,336.86
  6. Step 6: Final answer
    x = 416,708.93

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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.