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Finding the Fourth Proportional to 401,240.20, 602,093.60 and 164,752.60

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Solution

The fourth proportional to 401,240.20, 602,093.60 and 164,752.60 is: 247,224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,240.20 : 602,093.60 = 164,752.60 : x
  2. Step 2: Convert to fraction form
    401,240.20/602,093.60 = 164,752.60/x
  3. Step 3: Cross multiply
    401,240.20x = 602,093.60 × 164,752.60
  4. Step 4: Simplify right side
    401,240.20x = 99,196,486,043.36
  5. Step 5: Solve for x
    x = 99,196,486,043.36/401,240.20
  6. Step 6: Final answer
    x = 247,224.69

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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.