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Finding the Fourth Proportional to 467,548.70, 644,918.00 and 324,256.46

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Solution

The fourth proportional to 467,548.70, 644,918.00 and 324,256.46 is: 447,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,548.70 : 644,918.00 = 324,256.46 : x
  2. Step 2: Convert to fraction form
    467,548.70/644,918.00 = 324,256.46/x
  3. Step 3: Cross multiply
    467,548.70x = 644,918.00 × 324,256.46
  4. Step 4: Simplify right side
    467,548.70x = 209,118,822,824.41
  5. Step 5: Solve for x
    x = 209,118,822,824.41/467,548.70
  6. Step 6: Final answer
    x = 447,266.40

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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.