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Finding the Fourth Proportional to 401,322.60, 601,983.90 and 164,543.40

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Solution

The fourth proportional to 401,322.60, 601,983.90 and 164,543.40 is: 246,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,322.60 : 601,983.90 = 164,543.40 : x
  2. Step 2: Convert to fraction form
    401,322.60/601,983.90 = 164,543.40/x
  3. Step 3: Cross multiply
    401,322.60x = 601,983.90 × 164,543.40
  4. Step 4: Simplify right side
    401,322.60x = 99,052,477,651.26
  5. Step 5: Solve for x
    x = 99,052,477,651.26/401,322.60
  6. Step 6: Final answer
    x = 246,815.10

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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.