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Finding the Fourth Proportional to 274,064.80, 411,097.20 and 77,047.20

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Solution

The fourth proportional to 274,064.80, 411,097.20 and 77,047.20 is: 115,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,064.80 : 411,097.20 = 77,047.20 : x
  2. Step 2: Convert to fraction form
    274,064.80/411,097.20 = 77,047.20/x
  3. Step 3: Cross multiply
    274,064.80x = 411,097.20 × 77,047.20
  4. Step 4: Simplify right side
    274,064.80x = 31,673,888,187.84
  5. Step 5: Solve for x
    x = 31,673,888,187.84/274,064.80
  6. Step 6: Final answer
    x = 115,570.80

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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.