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Finding the Fourth Proportional to 598,713.75, 898,411.43 and 219,583.94

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Solution

The fourth proportional to 598,713.75, 898,411.43 and 219,583.94 is: 329,500.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,713.75 : 898,411.43 = 219,583.94 : x
  2. Step 2: Convert to fraction form
    598,713.75/898,411.43 = 219,583.94/x
  3. Step 3: Cross multiply
    598,713.75x = 898,411.43 × 219,583.94
  4. Step 4: Simplify right side
    598,713.75x = 197,276,715,950.46
  5. Step 5: Solve for x
    x = 197,276,715,950.46/598,713.75
  6. Step 6: Final answer
    x = 329,500.89

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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.