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Finding the Fourth Proportional to 401,103.40, 601,655.10 and 164,615.80

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Solution

The fourth proportional to 401,103.40, 601,655.10 and 164,615.80 is: 246,923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,103.40 : 601,655.10 = 164,615.80 : x
  2. Step 2: Convert to fraction form
    401,103.40/601,655.10 = 164,615.80/x
  3. Step 3: Cross multiply
    401,103.40x = 601,655.10 × 164,615.80
  4. Step 4: Simplify right side
    401,103.40x = 99,041,935,610.58
  5. Step 5: Solve for x
    x = 99,041,935,610.58/401,103.40
  6. Step 6: Final answer
    x = 246,923.70

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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.