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Finding the Fourth Proportional to 510,447.12, 765,448.76 and 155,377.96

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Solution

The fourth proportional to 510,447.12, 765,448.76 and 155,377.96 is: 232,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,447.12 : 765,448.76 = 155,377.96 : x
  2. Step 2: Convert to fraction form
    510,447.12/765,448.76 = 155,377.96/x
  3. Step 3: Cross multiply
    510,447.12x = 765,448.76 × 155,377.96
  4. Step 4: Simplify right side
    510,447.12x = 118,933,866,813.33
  5. Step 5: Solve for x
    x = 118,933,866,813.33/510,447.12
  6. Step 6: Final answer
    x = 232,999.39

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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.