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Finding the Fourth Proportional to 510,876.96, 705,010.04 and 296,141.68

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Solution

The fourth proportional to 510,876.96, 705,010.04 and 296,141.68 is: 408,675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,876.96 : 705,010.04 = 296,141.68 : x
  2. Step 2: Convert to fraction form
    510,876.96/705,010.04 = 296,141.68/x
  3. Step 3: Cross multiply
    510,876.96x = 705,010.04 × 296,141.68
  4. Step 4: Simplify right side
    510,876.96x = 208,782,857,662.47
  5. Step 5: Solve for x
    x = 208,782,857,662.47/510,876.96
  6. Step 6: Final answer
    x = 408,675.42

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