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Finding the Fourth Proportional to 401,003.74, 601,506.42 and 164,303.92

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Solution

The fourth proportional to 401,003.74, 601,506.42 and 164,303.92 is: 246,456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,003.74 : 601,506.42 = 164,303.92 : x
  2. Step 2: Convert to fraction form
    401,003.74/601,506.42 = 164,303.92/x
  3. Step 3: Cross multiply
    401,003.74x = 601,506.42 × 164,303.92
  4. Step 4: Simplify right side
    401,003.74x = 98,829,862,711.17
  5. Step 5: Solve for x
    x = 98,829,862,711.17/401,003.74
  6. Step 6: Final answer
    x = 246,456.21

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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.