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Finding the Fourth Proportional to 736,792, 1,105,188 and 238,156

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Solution

The fourth proportional to 736,792, 1,105,188 and 238,156 is: 357,234

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,792 : 1,105,188 = 238,156 : x
  2. Step 2: Convert to fraction form
    736,792/1,105,188 = 238,156/x
  3. Step 3: Cross multiply
    736,792x = 1,105,188 × 238,156
  4. Step 4: Simplify right side
    736,792x = 263,207,153,328
  5. Step 5: Solve for x
    x = 263,207,153,328/736,792
  6. Step 6: Final answer
    x = 357,234

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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.