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Finding the Fourth Proportional to 409,154.14, 613,627.53 and 172,494.94

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Solution

The fourth proportional to 409,154.14, 613,627.53 and 172,494.94 is: 258,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,154.14 : 613,627.53 = 172,494.94 : x
  2. Step 2: Convert to fraction form
    409,154.14/613,627.53 = 172,494.94/x
  3. Step 3: Cross multiply
    409,154.14x = 613,627.53 × 172,494.94
  4. Step 4: Simplify right side
    409,154.14x = 105,847,643,969.70
  5. Step 5: Solve for x
    x = 105,847,643,969.70/409,154.14
  6. Step 6: Final answer
    x = 258,698.70

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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.