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Finding the Fourth Proportional to 598,225, 825,521.34 and 356,502.04

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Solution

The fourth proportional to 598,225, 825,521.34 and 356,502.04 is: 491,955.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,225 : 825,521.34 = 356,502.04 : x
  2. Step 2: Convert to fraction form
    598,225/825,521.34 = 356,502.04/x
  3. Step 3: Cross multiply
    598,225x = 825,521.34 × 356,502.04
  4. Step 4: Simplify right side
    598,225x = 294,300,041,773.53
  5. Step 5: Solve for x
    x = 294,300,041,773.53/598,225
  6. Step 6: Final answer
    x = 491,955.44

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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.