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Finding the Fourth Proportional to 531,662.08, 797,536.32 and 157,684

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Solution

The fourth proportional to 531,662.08, 797,536.32 and 157,684 is: 236,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,662.08 : 797,536.32 = 157,684 : x
  2. Step 2: Convert to fraction form
    531,662.08/797,536.32 = 157,684/x
  3. Step 3: Cross multiply
    531,662.08x = 797,536.32 × 157,684
  4. Step 4: Simplify right side
    531,662.08x = 125,758,717,082.88
  5. Step 5: Solve for x
    x = 125,758,717,082.88/531,662.08
  6. Step 6: Final answer
    x = 236,538.81

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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.