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Finding the Fourth Proportional to 540,136.36, 745,377.78 and 298,429.48

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Solution

The fourth proportional to 540,136.36, 745,377.78 and 298,429.48 is: 411,826.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,136.36 : 745,377.78 = 298,429.48 : x
  2. Step 2: Convert to fraction form
    540,136.36/745,377.78 = 298,429.48/x
  3. Step 3: Cross multiply
    540,136.36x = 745,377.78 × 298,429.48
  4. Step 4: Simplify right side
    540,136.36x = 222,442,703,288.95
  5. Step 5: Solve for x
    x = 222,442,703,288.95/540,136.36
  6. Step 6: Final answer
    x = 411,826.94

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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.