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Finding the Fourth Proportional to 458,239.86, 632,354.25 and 254,299.68

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Solution

The fourth proportional to 458,239.86, 632,354.25 and 254,299.68 is: 350,924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,239.86 : 632,354.25 = 254,299.68 : x
  2. Step 2: Convert to fraction form
    458,239.86/632,354.25 = 254,299.68/x
  3. Step 3: Cross multiply
    458,239.86x = 632,354.25 × 254,299.68
  4. Step 4: Simplify right side
    458,239.86x = 160,807,483,421.64
  5. Step 5: Solve for x
    x = 160,807,483,421.64/458,239.86
  6. Step 6: Final answer
    x = 350,924.26

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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.