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Finding the Fourth Proportional to 498,838.67, 688,397.34 and 269,395.94

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Solution

The fourth proportional to 498,838.67, 688,397.34 and 269,395.94 is: 371,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,838.67 : 688,397.34 = 269,395.94 : x
  2. Step 2: Convert to fraction form
    498,838.67/688,397.34 = 269,395.94/x
  3. Step 3: Cross multiply
    498,838.67x = 688,397.34 × 269,395.94
  4. Step 4: Simplify right side
    498,838.67x = 185,451,445,060.81
  5. Step 5: Solve for x
    x = 185,451,445,060.81/498,838.67
  6. Step 6: Final answer
    x = 371,766.38

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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.