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Finding the Fourth Proportional to 401,378.40, 601,557.30 and 164,453.40

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Solution

The fourth proportional to 401,378.40, 601,557.30 and 164,453.40 is: 246,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,378.40 : 601,557.30 = 164,453.40 : x
  2. Step 2: Convert to fraction form
    401,378.40/601,557.30 = 164,453.40/x
  3. Step 3: Cross multiply
    401,378.40x = 601,557.30 × 164,453.40
  4. Step 4: Simplify right side
    401,378.40x = 98,928,143,279.82
  5. Step 5: Solve for x
    x = 98,928,143,279.82/401,378.40
  6. Step 6: Final answer
    x = 246,471.02

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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.