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Finding the Fourth Proportional to 384,811.87, 530,994.38 and 212,706.59

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Solution

The fourth proportional to 384,811.87, 530,994.38 and 212,706.59 is: 293,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,811.87 : 530,994.38 = 212,706.59 : x
  2. Step 2: Convert to fraction form
    384,811.87/530,994.38 = 212,706.59/x
  3. Step 3: Cross multiply
    384,811.87x = 530,994.38 × 212,706.59
  4. Step 4: Simplify right side
    384,811.87x = 112,946,002,019.71
  5. Step 5: Solve for x
    x = 112,946,002,019.71/384,811.87
  6. Step 6: Final answer
    x = 293,509.66

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Why These Related Problems?

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