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Finding the Fourth Proportional to 525,906.48, 788,236.74 and 241,357.14

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Solution

The fourth proportional to 525,906.48, 788,236.74 and 241,357.14 is: 361,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,906.48 : 788,236.74 = 241,357.14 : x
  2. Step 2: Convert to fraction form
    525,906.48/788,236.74 = 241,357.14/x
  3. Step 3: Cross multiply
    525,906.48x = 788,236.74 × 241,357.14
  4. Step 4: Simplify right side
    525,906.48x = 190,246,565,209.32
  5. Step 5: Solve for x
    x = 190,246,565,209.32/525,906.48
  6. Step 6: Final answer
    x = 361,749.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.