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Finding the Fourth Proportional to 458,398.40, 632,558.12 and 254,433.29

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Solution

The fourth proportional to 458,398.40, 632,558.12 and 254,433.29 is: 351,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,398.40 : 632,558.12 = 254,433.29 : x
  2. Step 2: Convert to fraction form
    458,398.40/632,558.12 = 254,433.29/x
  3. Step 3: Cross multiply
    458,398.40x = 632,558.12 × 254,433.29
  4. Step 4: Simplify right side
    458,398.40x = 160,943,839,152.86
  5. Step 5: Solve for x
    x = 160,943,839,152.86/458,398.40
  6. Step 6: Final answer
    x = 351,100.35

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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.