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Finding the Fourth Proportional to 566,846.24, 782,245.78 and 312,196.84

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Solution

The fourth proportional to 566,846.24, 782,245.78 and 312,196.84 is: 430,830.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,846.24 : 782,245.78 = 312,196.84 : x
  2. Step 2: Convert to fraction form
    566,846.24/782,245.78 = 312,196.84/x
  3. Step 3: Cross multiply
    566,846.24x = 782,245.78 × 312,196.84
  4. Step 4: Simplify right side
    566,846.24x = 244,214,660,619.34
  5. Step 5: Solve for x
    x = 244,214,660,619.34/566,846.24
  6. Step 6: Final answer
    x = 430,830.52

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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.