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Finding the Fourth Proportional to 531,536.30, 797,384.78 and 171,586.88

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Solution

The fourth proportional to 531,536.30, 797,384.78 and 171,586.88 is: 257,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,536.30 : 797,384.78 = 171,586.88 : x
  2. Step 2: Convert to fraction form
    531,536.30/797,384.78 = 171,586.88/x
  3. Step 3: Cross multiply
    531,536.30x = 797,384.78 × 171,586.88
  4. Step 4: Simplify right side
    531,536.30x = 136,820,765,701.75
  5. Step 5: Solve for x
    x = 136,820,765,701.75/531,536.30
  6. Step 6: Final answer
    x = 257,406.25

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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.