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Finding the Fourth Proportional to 463,071.84, 694,580.88 and 178,706.76

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Solution

The fourth proportional to 463,071.84, 694,580.88 and 178,706.76 is: 268,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,071.84 : 694,580.88 = 178,706.76 : x
  2. Step 2: Convert to fraction form
    463,071.84/694,580.88 = 178,706.76/x
  3. Step 3: Cross multiply
    463,071.84x = 694,580.88 × 178,706.76
  4. Step 4: Simplify right side
    463,071.84x = 124,126,298,622.75
  5. Step 5: Solve for x
    x = 124,126,298,622.75/463,071.84
  6. Step 6: Final answer
    x = 268,049.77

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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.