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Finding the Fourth Proportional to 510,635.82, 704,623.95 and 295,845.42

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Solution

The fourth proportional to 510,635.82, 704,623.95 and 295,845.42 is: 408,235.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,635.82 : 704,623.95 = 295,845.42 : x
  2. Step 2: Convert to fraction form
    510,635.82/704,623.95 = 295,845.42/x
  3. Step 3: Cross multiply
    510,635.82x = 704,623.95 × 295,845.42
  4. Step 4: Simplify right side
    510,635.82x = 208,459,768,429.81
  5. Step 5: Solve for x
    x = 208,459,768,429.81/510,635.82
  6. Step 6: Final answer
    x = 408,235.69

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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.