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Finding the Fourth Proportional to 283,702.83, 391,511.79 and 156,378.54

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Solution

The fourth proportional to 283,702.83, 391,511.79 and 156,378.54 is: 215,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,702.83 : 391,511.79 = 156,378.54 : x
  2. Step 2: Convert to fraction form
    283,702.83/391,511.79 = 156,378.54/x
  3. Step 3: Cross multiply
    283,702.83x = 391,511.79 × 156,378.54
  4. Step 4: Simplify right side
    283,702.83x = 61,224,042,112.99
  5. Step 5: Solve for x
    x = 61,224,042,112.99/283,702.83
  6. Step 6: Final answer
    x = 215,803.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.