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Finding the Fourth Proportional to 472,072.02, 651,451.19 and 257,213.85

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Solution

The fourth proportional to 472,072.02, 651,451.19 and 257,213.85 is: 354,950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,072.02 : 651,451.19 = 257,213.85 : x
  2. Step 2: Convert to fraction form
    472,072.02/651,451.19 = 257,213.85/x
  3. Step 3: Cross multiply
    472,072.02x = 651,451.19 × 257,213.85
  4. Step 4: Simplify right side
    472,072.02x = 167,562,267,380.91
  5. Step 5: Solve for x
    x = 167,562,267,380.91/472,072.02
  6. Step 6: Final answer
    x = 354,950.64

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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.