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Finding the Fourth Proportional to 582,402.16, 873,813.36 and 203,378.72

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Solution

The fourth proportional to 582,402.16, 873,813.36 and 203,378.72 is: 305,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,402.16 : 873,813.36 = 203,378.72 : x
  2. Step 2: Convert to fraction form
    582,402.16/873,813.36 = 203,378.72/x
  3. Step 3: Cross multiply
    582,402.16x = 873,813.36 × 203,378.72
  4. Step 4: Simplify right side
    582,402.16x = 177,715,042,675.70
  5. Step 5: Solve for x
    x = 177,715,042,675.70/582,402.16
  6. Step 6: Final answer
    x = 305,141.46

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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.