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Finding the Fourth Proportional to 458,014.14, 632,069.64 and 254,058.41

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Solution

The fourth proportional to 458,014.14, 632,069.64 and 254,058.41 is: 350,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,014.14 : 632,069.64 = 254,058.41 : x
  2. Step 2: Convert to fraction form
    458,014.14/632,069.64 = 254,058.41/x
  3. Step 3: Cross multiply
    458,014.14x = 632,069.64 × 254,058.41
  4. Step 4: Simplify right side
    458,014.14x = 160,582,604,587.32
  5. Step 5: Solve for x
    x = 160,582,604,587.32/458,014.14
  6. Step 6: Final answer
    x = 350,606.22

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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.