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Finding the Fourth Proportional to 273,741.84, 411,341.76 and 147,479.04

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Solution

The fourth proportional to 273,741.84, 411,341.76 and 147,479.04 is: 221,611.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,741.84 : 411,341.76 = 147,479.04 : x
  2. Step 2: Convert to fraction form
    273,741.84/411,341.76 = 147,479.04/x
  3. Step 3: Cross multiply
    273,741.84x = 411,341.76 × 147,479.04
  4. Step 4: Simplify right side
    273,741.84x = 60,664,287,876.71
  5. Step 5: Solve for x
    x = 60,664,287,876.71/273,741.84
  6. Step 6: Final answer
    x = 221,611.31

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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.