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Finding the Fourth Proportional to 472,334.24, 651,802 and 257,469.60

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Solution

The fourth proportional to 472,334.24, 651,802 and 257,469.60 is: 355,297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,334.24 : 651,802 = 257,469.60 : x
  2. Step 2: Convert to fraction form
    472,334.24/651,802 = 257,469.60/x
  3. Step 3: Cross multiply
    472,334.24x = 651,802 × 257,469.60
  4. Step 4: Simplify right side
    472,334.24x = 167,819,200,219.20
  5. Step 5: Solve for x
    x = 167,819,200,219.20/472,334.24
  6. Step 6: Final answer
    x = 355,297.55

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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.