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Finding the Fourth Proportional to 458,678.68, 632,997.59 and 254,730.50

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Solution

The fourth proportional to 458,678.68, 632,997.59 and 254,730.50 is: 351,539.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,678.68 : 632,997.59 = 254,730.50 : x
  2. Step 2: Convert to fraction form
    458,678.68/632,997.59 = 254,730.50/x
  3. Step 3: Cross multiply
    458,678.68x = 632,997.59 × 254,730.50
  4. Step 4: Simplify right side
    458,678.68x = 161,243,792,599.50
  5. Step 5: Solve for x
    x = 161,243,792,599.50/458,678.68
  6. Step 6: Final answer
    x = 351,539.76

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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.