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Finding the Fourth Proportional to 492,068.28, 678,913.74 and 277,133.16

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Solution

The fourth proportional to 492,068.28, 678,913.74 and 277,133.16 is: 382,364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,068.28 : 678,913.74 = 277,133.16 : x
  2. Step 2: Convert to fraction form
    492,068.28/678,913.74 = 277,133.16/x
  3. Step 3: Cross multiply
    492,068.28x = 678,913.74 × 277,133.16
  4. Step 4: Simplify right side
    492,068.28x = 188,149,510,133.62
  5. Step 5: Solve for x
    x = 188,149,510,133.62/492,068.28
  6. Step 6: Final answer
    x = 382,364.64

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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.