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Finding the Fourth Proportional to 933,409, 1,400,113.50 and 268,561

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Solution

The fourth proportional to 933,409, 1,400,113.50 and 268,561 is: 402,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,409 : 1,400,113.50 = 268,561 : x
  2. Step 2: Convert to fraction form
    933,409/1,400,113.50 = 268,561/x
  3. Step 3: Cross multiply
    933,409x = 1,400,113.50 × 268,561
  4. Step 4: Simplify right side
    933,409x = 376,015,881,673.50
  5. Step 5: Solve for x
    x = 376,015,881,673.50/933,409
  6. Step 6: Final answer
    x = 402,841.50

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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.