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Finding the Fourth Proportional to 401,436.40, 601,644.30 and 164,511.40

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Solution

The fourth proportional to 401,436.40, 601,644.30 and 164,511.40 is: 246,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,436.40 : 601,644.30 = 164,511.40 : x
  2. Step 2: Convert to fraction form
    401,436.40/601,644.30 = 164,511.40/x
  3. Step 3: Cross multiply
    401,436.40x = 601,644.30 × 164,511.40
  4. Step 4: Simplify right side
    401,436.40x = 98,977,346,095.02
  5. Step 5: Solve for x
    x = 98,977,346,095.02/401,436.40
  6. Step 6: Final answer
    x = 246,557.98

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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.