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Finding the Fourth Proportional to 933,406, 1,400,109 and 268,558

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Solution

The fourth proportional to 933,406, 1,400,109 and 268,558 is: 402,837

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,406 : 1,400,109 = 268,558 : x
  2. Step 2: Convert to fraction form
    933,406/1,400,109 = 268,558/x
  3. Step 3: Cross multiply
    933,406x = 1,400,109 × 268,558
  4. Step 4: Simplify right side
    933,406x = 376,010,472,822
  5. Step 5: Solve for x
    x = 376,010,472,822/933,406
  6. Step 6: Final answer
    x = 402,837

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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.