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Finding the Fourth Proportional to 274,047.58, 411,071.55 and 74,368

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Solution

The fourth proportional to 274,047.58, 411,071.55 and 74,368 is: 111,552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,047.58 : 411,071.55 = 74,368 : x
  2. Step 2: Convert to fraction form
    274,047.58/411,071.55 = 74,368/x
  3. Step 3: Cross multiply
    274,047.58x = 411,071.55 × 74,368
  4. Step 4: Simplify right side
    274,047.58x = 30,570,569,030.40
  5. Step 5: Solve for x
    x = 30,570,569,030.40/274,047.58
  6. Step 6: Final answer
    x = 111,552.05

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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.