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Finding the Fourth Proportional to 369,620, 510,046.26 and 208,423.52

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Solution

The fourth proportional to 369,620, 510,046.26 and 208,423.52 is: 287,607.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,620 : 510,046.26 = 208,423.52 : x
  2. Step 2: Convert to fraction form
    369,620/510,046.26 = 208,423.52/x
  3. Step 3: Cross multiply
    369,620x = 510,046.26 × 208,423.52
  4. Step 4: Simplify right side
    369,620x = 106,305,636,872.04
  5. Step 5: Solve for x
    x = 106,305,636,872.04/369,620
  6. Step 6: Final answer
    x = 287,607.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.