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Finding the Fourth Proportional to 316,737.84, 475,581.15 and 274,175.40

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Solution

The fourth proportional to 316,737.84, 475,581.15 and 274,175.40 is: 411,673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,737.84 : 475,581.15 = 274,175.40 : x
  2. Step 2: Convert to fraction form
    316,737.84/475,581.15 = 274,175.40/x
  3. Step 3: Cross multiply
    316,737.84x = 475,581.15 × 274,175.40
  4. Step 4: Simplify right side
    316,737.84x = 130,392,652,033.71
  5. Step 5: Solve for x
    x = 130,392,652,033.71/316,737.84
  6. Step 6: Final answer
    x = 411,673.74

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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.