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Finding the Fourth Proportional to 288,859.40, 433,289.10 and 204,878.60

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Solution

The fourth proportional to 288,859.40, 433,289.10 and 204,878.60 is: 307,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,859.40 : 433,289.10 = 204,878.60 : x
  2. Step 2: Convert to fraction form
    288,859.40/433,289.10 = 204,878.60/x
  3. Step 3: Cross multiply
    288,859.40x = 433,289.10 × 204,878.60
  4. Step 4: Simplify right side
    288,859.40x = 88,771,664,203.26
  5. Step 5: Solve for x
    x = 88,771,664,203.26/288,859.40
  6. Step 6: Final answer
    x = 307,317.90

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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.