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Finding the Fourth Proportional to 369,064.71, 509,310.45 and 214,046.10

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Solution

The fourth proportional to 369,064.71, 509,310.45 and 214,046.10 is: 295,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,064.71 : 509,310.45 = 214,046.10 : x
  2. Step 2: Convert to fraction form
    369,064.71/509,310.45 = 214,046.10/x
  3. Step 3: Cross multiply
    369,064.71x = 509,310.45 × 214,046.10
  4. Step 4: Simplify right side
    369,064.71x = 109,015,915,511.75
  5. Step 5: Solve for x
    x = 109,015,915,511.75/369,064.71
  6. Step 6: Final answer
    x = 295,384.29

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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.