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Finding the Fourth Proportional to 510,590.95, 704,709.99 and 295,730.96

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Solution

The fourth proportional to 510,590.95, 704,709.99 and 295,730.96 is: 408,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,590.95 : 704,709.99 = 295,730.96 : x
  2. Step 2: Convert to fraction form
    510,590.95/704,709.99 = 295,730.96/x
  3. Step 3: Cross multiply
    510,590.95x = 704,709.99 × 295,730.96
  4. Step 4: Simplify right side
    510,590.95x = 208,404,558,340.74
  5. Step 5: Solve for x
    x = 208,404,558,340.74/510,590.95
  6. Step 6: Final answer
    x = 408,163.44

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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.