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Finding the Fourth Proportional to 505,735.83, 758,977.05 and 239,495.92

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Solution

The fourth proportional to 505,735.83, 758,977.05 and 239,495.92 is: 359,420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,735.83 : 758,977.05 = 239,495.92 : x
  2. Step 2: Convert to fraction form
    505,735.83/758,977.05 = 239,495.92/x
  3. Step 3: Cross multiply
    505,735.83x = 758,977.05 × 239,495.92
  4. Step 4: Simplify right side
    505,735.83x = 181,771,906,848.64
  5. Step 5: Solve for x
    x = 181,771,906,848.64/505,735.83
  6. Step 6: Final answer
    x = 359,420.66

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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.