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Finding the Fourth Proportional to 597,972.48, 825,221.76 and 356,222

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Solution

The fourth proportional to 597,972.48, 825,221.76 and 356,222 is: 491,598.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,972.48 : 825,221.76 = 356,222 : x
  2. Step 2: Convert to fraction form
    597,972.48/825,221.76 = 356,222/x
  3. Step 3: Cross multiply
    597,972.48x = 825,221.76 × 356,222
  4. Step 4: Simplify right side
    597,972.48x = 293,962,145,790.72
  5. Step 5: Solve for x
    x = 293,962,145,790.72/597,972.48
  6. Step 6: Final answer
    x = 491,598.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.