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Finding the Fourth Proportional to 348,052.55, 522,078.83 and 208,084.55

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Solution

The fourth proportional to 348,052.55, 522,078.83 and 208,084.55 is: 312,126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,052.55 : 522,078.83 = 208,084.55 : x
  2. Step 2: Convert to fraction form
    348,052.55/522,078.83 = 208,084.55/x
  3. Step 3: Cross multiply
    348,052.55x = 522,078.83 × 208,084.55
  4. Step 4: Simplify right side
    348,052.55x = 108,636,538,405.08
  5. Step 5: Solve for x
    x = 108,636,538,405.08/348,052.55
  6. Step 6: Final answer
    x = 312,126.83

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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.