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Finding the Fourth Proportional to 277,684.66, 416,528.35 and 67,322.59

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Solution

The fourth proportional to 277,684.66, 416,528.35 and 67,322.59 is: 100,984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,684.66 : 416,528.35 = 67,322.59 : x
  2. Step 2: Convert to fraction form
    277,684.66/416,528.35 = 67,322.59/x
  3. Step 3: Cross multiply
    277,684.66x = 416,528.35 × 67,322.59
  4. Step 4: Simplify right side
    277,684.66x = 28,041,767,330.43
  5. Step 5: Solve for x
    x = 28,041,767,330.43/277,684.66
  6. Step 6: Final answer
    x = 100,984.21

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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.