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Finding the Fourth Proportional to 471,915.52, 651,249.10 and 257,057.34

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Solution

The fourth proportional to 471,915.52, 651,249.10 and 257,057.34 is: 354,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,915.52 : 651,249.10 = 257,057.34 : x
  2. Step 2: Convert to fraction form
    471,915.52/651,249.10 = 257,057.34/x
  3. Step 3: Cross multiply
    471,915.52x = 651,249.10 × 257,057.34
  4. Step 4: Simplify right side
    471,915.52x = 167,408,361,323.39
  5. Step 5: Solve for x
    x = 167,408,361,323.39/471,915.52
  6. Step 6: Final answer
    x = 354,742.22

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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.