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Finding the Fourth Proportional to 401,097.30, 601,500.15 and 201,351.30

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Solution

The fourth proportional to 401,097.30, 601,500.15 and 201,351.30 is: 301,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,097.30 : 601,500.15 = 201,351.30 : x
  2. Step 2: Convert to fraction form
    401,097.30/601,500.15 = 201,351.30/x
  3. Step 3: Cross multiply
    401,097.30x = 601,500.15 × 201,351.30
  4. Step 4: Simplify right side
    401,097.30x = 121,112,837,152.70
  5. Step 5: Solve for x
    x = 121,112,837,152.70/401,097.30
  6. Step 6: Final answer
    x = 301,953.76

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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.