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Finding the Fourth Proportional to 274,482.83, 411,763.59 and 84,959.84

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Solution

The fourth proportional to 274,482.83, 411,763.59 and 84,959.84 is: 127,451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,482.83 : 411,763.59 = 84,959.84 : x
  2. Step 2: Convert to fraction form
    274,482.83/411,763.59 = 84,959.84/x
  3. Step 3: Cross multiply
    274,482.83x = 411,763.59 × 84,959.84
  4. Step 4: Simplify right side
    274,482.83x = 34,983,368,724.23
  5. Step 5: Solve for x
    x = 34,983,368,724.23/274,482.83
  6. Step 6: Final answer
    x = 127,451.94

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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.