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Finding the Fourth Proportional to 335,051.40, 502,577.10 and 201,863.10

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Solution

The fourth proportional to 335,051.40, 502,577.10 and 201,863.10 is: 302,794.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,051.40 : 502,577.10 = 201,863.10 : x
  2. Step 2: Convert to fraction form
    335,051.40/502,577.10 = 201,863.10/x
  3. Step 3: Cross multiply
    335,051.40x = 502,577.10 × 201,863.10
  4. Step 4: Simplify right side
    335,051.40x = 101,451,771,395.01
  5. Step 5: Solve for x
    x = 101,451,771,395.01/335,051.40
  6. Step 6: Final answer
    x = 302,794.65

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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.