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Finding the Fourth Proportional to 437,257.06, 654,404.15 and 268,884.02

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Solution

The fourth proportional to 437,257.06, 654,404.15 and 268,884.02 is: 402,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,257.06 : 654,404.15 = 268,884.02 : x
  2. Step 2: Convert to fraction form
    437,257.06/654,404.15 = 268,884.02/x
  3. Step 3: Cross multiply
    437,257.06x = 654,404.15 × 268,884.02
  4. Step 4: Simplify right side
    437,257.06x = 175,958,820,864.90
  5. Step 5: Solve for x
    x = 175,958,820,864.90/437,257.06
  6. Step 6: Final answer
    x = 402,415.05

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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.