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Finding the Fourth Proportional to 513,366.80, 708,410.22 and 298,491.62

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Solution

The fourth proportional to 513,366.80, 708,410.22 and 298,491.62 is: 411,897.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,366.80 : 708,410.22 = 298,491.62 : x
  2. Step 2: Convert to fraction form
    513,366.80/708,410.22 = 298,491.62/x
  3. Step 3: Cross multiply
    513,366.80x = 708,410.22 × 298,491.62
  4. Step 4: Simplify right side
    513,366.80x = 211,454,514,192.36
  5. Step 5: Solve for x
    x = 211,454,514,192.36/513,366.80
  6. Step 6: Final answer
    x = 411,897.52

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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.