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Finding the Fourth Proportional to 510,994.44, 705,172.37 and 296,259.12

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Solution

The fourth proportional to 510,994.44, 705,172.37 and 296,259.12 is: 408,837.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,994.44 : 705,172.37 = 296,259.12 : x
  2. Step 2: Convert to fraction form
    510,994.44/705,172.37 = 296,259.12/x
  3. Step 3: Cross multiply
    510,994.44x = 705,172.37 × 296,259.12
  4. Step 4: Simplify right side
    510,994.44x = 208,913,744,303.22
  5. Step 5: Solve for x
    x = 208,913,744,303.22/510,994.44
  6. Step 6: Final answer
    x = 408,837.61

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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.