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Finding the Fourth Proportional to 511,214.08, 705,308.16 and 309,936.64

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Solution

The fourth proportional to 511,214.08, 705,308.16 and 309,936.64 is: 427,611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,214.08 : 705,308.16 = 309,936.64 : x
  2. Step 2: Convert to fraction form
    511,214.08/705,308.16 = 309,936.64/x
  3. Step 3: Cross multiply
    511,214.08x = 705,308.16 × 309,936.64
  4. Step 4: Simplify right side
    511,214.08x = 218,600,841,274.98
  5. Step 5: Solve for x
    x = 218,600,841,274.98/511,214.08
  6. Step 6: Final answer
    x = 427,611.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.