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Finding the Fourth Proportional to 400,851.90, 601,277.45 and 164,195.01

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Solution

The fourth proportional to 400,851.90, 601,277.45 and 164,195.01 is: 246,292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,851.90 : 601,277.45 = 164,195.01 : x
  2. Step 2: Convert to fraction form
    400,851.90/601,277.45 = 164,195.01/x
  3. Step 3: Cross multiply
    400,851.90x = 601,277.45 × 164,195.01
  4. Step 4: Simplify right side
    400,851.90x = 98,726,756,094.55
  5. Step 5: Solve for x
    x = 98,726,756,094.55/400,851.90
  6. Step 6: Final answer
    x = 246,292.35

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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.