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Finding the Fourth Proportional to 401,255.55, 601,916.16 and 164,600.28

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Solution

The fourth proportional to 401,255.55, 601,916.16 and 164,600.28 is: 246,913.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,255.55 : 601,916.16 = 164,600.28 : x
  2. Step 2: Convert to fraction form
    401,255.55/601,916.16 = 164,600.28/x
  3. Step 3: Cross multiply
    401,255.55x = 601,916.16 × 164,600.28
  4. Step 4: Simplify right side
    401,255.55x = 99,075,568,472.52
  5. Step 5: Solve for x
    x = 99,075,568,472.52/401,255.55
  6. Step 6: Final answer
    x = 246,913.89

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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.