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Finding the Fourth Proportional to 460,594.32, 635,624.70 and 269,611.80

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Solution

The fourth proportional to 460,594.32, 635,624.70 and 269,611.80 is: 372,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,594.32 : 635,624.70 = 269,611.80 : x
  2. Step 2: Convert to fraction form
    460,594.32/635,624.70 = 269,611.80/x
  3. Step 3: Cross multiply
    460,594.32x = 635,624.70 × 269,611.80
  4. Step 4: Simplify right side
    460,594.32x = 171,371,919,491.46
  5. Step 5: Solve for x
    x = 171,371,919,491.46/460,594.32
  6. Step 6: Final answer
    x = 372,066.94

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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.