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Finding the Fourth Proportional to 469,985.64, 705,245.09 and 253,841.70

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Solution

The fourth proportional to 469,985.64, 705,245.09 and 253,841.70 is: 380,906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,985.64 : 705,245.09 = 253,841.70 : x
  2. Step 2: Convert to fraction form
    469,985.64/705,245.09 = 253,841.70/x
  3. Step 3: Cross multiply
    469,985.64x = 705,245.09 × 253,841.70
  4. Step 4: Simplify right side
    469,985.64x = 179,020,613,196.86
  5. Step 5: Solve for x
    x = 179,020,613,196.86/469,985.64
  6. Step 6: Final answer
    x = 380,906.56

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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.