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Finding the Fourth Proportional to 277,570.80, 416,356.27 and 67,208.74

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Solution

The fourth proportional to 277,570.80, 416,356.27 and 67,208.74 is: 100,813.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,570.80 : 416,356.27 = 67,208.74 : x
  2. Step 2: Convert to fraction form
    277,570.80/416,356.27 = 67,208.74/x
  3. Step 3: Cross multiply
    277,570.80x = 416,356.27 × 67,208.74
  4. Step 4: Simplify right side
    277,570.80x = 27,982,779,088.89
  5. Step 5: Solve for x
    x = 27,982,779,088.89/277,570.80
  6. Step 6: Final answer
    x = 100,813.12

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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.