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Finding the Fourth Proportional to 413,702.91, 620,802.23 and 177,045.84

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Solution

The fourth proportional to 413,702.91, 620,802.23 and 177,045.84 is: 265,674.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,702.91 : 620,802.23 = 177,045.84 : x
  2. Step 2: Convert to fraction form
    413,702.91/620,802.23 = 177,045.84/x
  3. Step 3: Cross multiply
    413,702.91x = 620,802.23 × 177,045.84
  4. Step 4: Simplify right side
    413,702.91x = 109,910,451,398.99
  5. Step 5: Solve for x
    x = 109,910,451,398.99/413,702.91
  6. Step 6: Final answer
    x = 265,674.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.