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Finding the Fourth Proportional to 469,085.42, 647,335.32 and 254,223.20

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Solution

The fourth proportional to 469,085.42, 647,335.32 and 254,223.20 is: 350,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,085.42 : 647,335.32 = 254,223.20 : x
  2. Step 2: Convert to fraction form
    469,085.42/647,335.32 = 254,223.20/x
  3. Step 3: Cross multiply
    469,085.42x = 647,335.32 × 254,223.20
  4. Step 4: Simplify right side
    469,085.42x = 164,567,656,523.42
  5. Step 5: Solve for x
    x = 164,567,656,523.42/469,085.42
  6. Step 6: Final answer
    x = 350,826.63

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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.