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Finding the Fourth Proportional to 460,200.99, 635,071.31 and 253,465.41

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Solution

The fourth proportional to 460,200.99, 635,071.31 and 253,465.41 is: 349,778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,200.99 : 635,071.31 = 253,465.41 : x
  2. Step 2: Convert to fraction form
    460,200.99/635,071.31 = 253,465.41/x
  3. Step 3: Cross multiply
    460,200.99x = 635,071.31 × 253,465.41
  4. Step 4: Simplify right side
    460,200.99x = 160,968,609,968.39
  5. Step 5: Solve for x
    x = 160,968,609,968.39/460,200.99
  6. Step 6: Final answer
    x = 349,778.93

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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.