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Finding the Fourth Proportional to 401,476.98, 601,690.50 and 164,542.26

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Solution

The fourth proportional to 401,476.98, 601,690.50 and 164,542.26 is: 246,598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,476.98 : 601,690.50 = 164,542.26 : x
  2. Step 2: Convert to fraction form
    401,476.98/601,690.50 = 164,542.26/x
  3. Step 3: Cross multiply
    401,476.98x = 601,690.50 × 164,542.26
  4. Step 4: Simplify right side
    401,476.98x = 99,003,514,690.53
  5. Step 5: Solve for x
    x = 99,003,514,690.53/401,476.98
  6. Step 6: Final answer
    x = 246,598.24

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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.