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Finding the Fourth Proportional to 288,999.10, 433,498.65 and 236,467.90

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Solution

The fourth proportional to 288,999.10, 433,498.65 and 236,467.90 is: 354,701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,999.10 : 433,498.65 = 236,467.90 : x
  2. Step 2: Convert to fraction form
    288,999.10/433,498.65 = 236,467.90/x
  3. Step 3: Cross multiply
    288,999.10x = 433,498.65 × 236,467.90
  4. Step 4: Simplify right side
    288,999.10x = 102,508,515,418.34
  5. Step 5: Solve for x
    x = 102,508,515,418.34/288,999.10
  6. Step 6: Final answer
    x = 354,701.85

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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.