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Finding the Fourth Proportional to 411,971.84, 617,458.76 and 174,816.30

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Solution

The fourth proportional to 411,971.84, 617,458.76 and 174,816.30 is: 262,012.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,971.84 : 617,458.76 = 174,816.30 : x
  2. Step 2: Convert to fraction form
    411,971.84/617,458.76 = 174,816.30/x
  3. Step 3: Cross multiply
    411,971.84x = 617,458.76 × 174,816.30
  4. Step 4: Simplify right side
    411,971.84x = 107,941,854,951.71
  5. Step 5: Solve for x
    x = 107,941,854,951.71/411,971.84
  6. Step 6: Final answer
    x = 262,012.71

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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.