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Finding the Fourth Proportional to 469,144.71, 647,423.15 and 254,286.32

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Solution

The fourth proportional to 469,144.71, 647,423.15 and 254,286.32 is: 350,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,144.71 : 647,423.15 = 254,286.32 : x
  2. Step 2: Convert to fraction form
    469,144.71/647,423.15 = 254,286.32/x
  3. Step 3: Cross multiply
    469,144.71x = 647,423.15 × 254,286.32
  4. Step 4: Simplify right side
    469,144.71x = 164,630,845,787.76
  5. Step 5: Solve for x
    x = 164,630,845,787.76/469,144.71
  6. Step 6: Final answer
    x = 350,916.98

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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.