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Finding the Fourth Proportional to 933,405, 1,400,107.50 and 268,557

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Solution

The fourth proportional to 933,405, 1,400,107.50 and 268,557 is: 402,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,405 : 1,400,107.50 = 268,557 : x
  2. Step 2: Convert to fraction form
    933,405/1,400,107.50 = 268,557/x
  3. Step 3: Cross multiply
    933,405x = 1,400,107.50 × 268,557
  4. Step 4: Simplify right side
    933,405x = 376,008,669,877.50
  5. Step 5: Solve for x
    x = 376,008,669,877.50/933,405
  6. Step 6: Final answer
    x = 402,835.50

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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.