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Finding the Fourth Proportional to 460,321.50, 635,071.74 and 459,611.88

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Solution

The fourth proportional to 460,321.50, 635,071.74 and 459,611.88 is: 634,092.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,321.50 : 635,071.74 = 459,611.88 : x
  2. Step 2: Convert to fraction form
    460,321.50/635,071.74 = 459,611.88/x
  3. Step 3: Cross multiply
    460,321.50x = 635,071.74 × 459,611.88
  4. Step 4: Simplify right side
    460,321.50x = 291,886,516,356.27
  5. Step 5: Solve for x
    x = 291,886,516,356.27/460,321.50
  6. Step 6: Final answer
    x = 634,092.73

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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.