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Finding the Fourth Proportional to 458,678.26, 632,997.01 and 254,730.08

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Solution

The fourth proportional to 458,678.26, 632,997.01 and 254,730.08 is: 351,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,678.26 : 632,997.01 = 254,730.08 : x
  2. Step 2: Convert to fraction form
    458,678.26/632,997.01 = 254,730.08/x
  3. Step 3: Cross multiply
    458,678.26x = 632,997.01 × 254,730.08
  4. Step 4: Simplify right side
    458,678.26x = 161,243,380,897.97
  5. Step 5: Solve for x
    x = 161,243,380,897.97/458,678.26
  6. Step 6: Final answer
    x = 351,539.18

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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.