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Finding the Fourth Proportional to 510,835.36, 704,952.97 and 296,099.98

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Solution

The fourth proportional to 510,835.36, 704,952.97 and 296,099.98 is: 408,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,835.36 : 704,952.97 = 296,099.98 : x
  2. Step 2: Convert to fraction form
    510,835.36/704,952.97 = 296,099.98/x
  3. Step 3: Cross multiply
    510,835.36x = 704,952.97 × 296,099.98
  4. Step 4: Simplify right side
    510,835.36x = 208,736,559,589.80
  5. Step 5: Solve for x
    x = 208,736,559,589.80/510,835.36
  6. Step 6: Final answer
    x = 408,618.07

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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.