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Finding the Fourth Proportional to 589,520, 813,668.82 and 374,618.10

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Solution

The fourth proportional to 589,520, 813,668.82 and 374,618.10 is: 517,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,520 : 813,668.82 = 374,618.10 : x
  2. Step 2: Convert to fraction form
    589,520/813,668.82 = 374,618.10/x
  3. Step 3: Cross multiply
    589,520x = 813,668.82 × 374,618.10
  4. Step 4: Simplify right side
    589,520x = 304,815,067,377.64
  5. Step 5: Solve for x
    x = 304,815,067,377.64/589,520
  6. Step 6: Final answer
    x = 517,056.36

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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.