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Finding the Fourth Proportional to 567,714, 783,409.56 and 325,826.34

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Solution

The fourth proportional to 567,714, 783,409.56 and 325,826.34 is: 449,619.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,714 : 783,409.56 = 325,826.34 : x
  2. Step 2: Convert to fraction form
    567,714/783,409.56 = 325,826.34/x
  3. Step 3: Cross multiply
    567,714x = 783,409.56 × 325,826.34
  4. Step 4: Simplify right side
    567,714x = 255,255,469,655.81
  5. Step 5: Solve for x
    x = 255,255,469,655.81/567,714
  6. Step 6: Final answer
    x = 449,619.83

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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.