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Finding the Fourth Proportional to 531,462.60, 797,057.64 and 157,398.12

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Solution

The fourth proportional to 531,462.60, 797,057.64 and 157,398.12 is: 236,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,462.60 : 797,057.64 = 157,398.12 : x
  2. Step 2: Convert to fraction form
    531,462.60/797,057.64 = 157,398.12/x
  3. Step 3: Cross multiply
    531,462.60x = 797,057.64 × 157,398.12
  4. Step 4: Simplify right side
    531,462.60x = 125,455,374,067.64
  5. Step 5: Solve for x
    x = 125,455,374,067.64/531,462.60
  6. Step 6: Final answer
    x = 236,056.83

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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.