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Finding the Fourth Proportional to 407,164.62, 610,788.78 and 140,924.70

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Solution

The fourth proportional to 407,164.62, 610,788.78 and 140,924.70 is: 211,401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,164.62 : 610,788.78 = 140,924.70 : x
  2. Step 2: Convert to fraction form
    407,164.62/610,788.78 = 140,924.70/x
  3. Step 3: Cross multiply
    407,164.62x = 610,788.78 × 140,924.70
  4. Step 4: Simplify right side
    407,164.62x = 86,075,225,584.87
  5. Step 5: Solve for x
    x = 86,075,225,584.87/407,164.62
  6. Step 6: Final answer
    x = 211,401.53

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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.