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Finding the Fourth Proportional to 531,662.58, 797,537.07 and 157,684.50

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Solution

The fourth proportional to 531,662.58, 797,537.07 and 157,684.50 is: 236,539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,662.58 : 797,537.07 = 157,684.50 : x
  2. Step 2: Convert to fraction form
    531,662.58/797,537.07 = 157,684.50/x
  3. Step 3: Cross multiply
    531,662.58x = 797,537.07 × 157,684.50
  4. Step 4: Simplify right side
    531,662.58x = 125,759,234,114.42
  5. Step 5: Solve for x
    x = 125,759,234,114.42/531,662.58
  6. Step 6: Final answer
    x = 236,539.56

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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.