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Finding the Fourth Proportional to 458,252.96, 632,435.76 and 254,305.28

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Solution

The fourth proportional to 458,252.96, 632,435.76 and 254,305.28 is: 350,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,252.96 : 632,435.76 = 254,305.28 : x
  2. Step 2: Convert to fraction form
    458,252.96/632,435.76 = 254,305.28/x
  3. Step 3: Cross multiply
    458,252.96x = 632,435.76 × 254,305.28
  4. Step 4: Simplify right side
    458,252.96x = 160,831,749,866.63
  5. Step 5: Solve for x
    x = 160,831,749,866.63/458,252.96
  6. Step 6: Final answer
    x = 350,967.19

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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.