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Finding the Fourth Proportional to 436,643.53, 654,757.88 and 152,299.53

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Solution

The fourth proportional to 436,643.53, 654,757.88 and 152,299.53 is: 228,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,643.53 : 654,757.88 = 152,299.53 : x
  2. Step 2: Convert to fraction form
    436,643.53/654,757.88 = 152,299.53/x
  3. Step 3: Cross multiply
    436,643.53x = 654,757.88 × 152,299.53
  4. Step 4: Simplify right side
    436,643.53x = 99,719,316,626.30
  5. Step 5: Solve for x
    x = 99,719,316,626.30/436,643.53
  6. Step 6: Final answer
    x = 228,376.95

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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.