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Finding the Fourth Proportional to 463,143.84, 694,688.88 and 178,778.76

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Solution

The fourth proportional to 463,143.84, 694,688.88 and 178,778.76 is: 268,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,143.84 : 694,688.88 = 178,778.76 : x
  2. Step 2: Convert to fraction form
    463,143.84/694,688.88 = 178,778.76/x
  3. Step 3: Cross multiply
    463,143.84x = 694,688.88 × 178,778.76
  4. Step 4: Simplify right side
    463,143.84x = 124,195,616,552.19
  5. Step 5: Solve for x
    x = 124,195,616,552.19/463,143.84
  6. Step 6: Final answer
    x = 268,157.76

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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.