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Finding the Fourth Proportional to 300,573.08, 414,823.33 and 191,680.98

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Solution

The fourth proportional to 300,573.08, 414,823.33 and 191,680.98 is: 264,540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,573.08 : 414,823.33 = 191,680.98 : x
  2. Step 2: Convert to fraction form
    300,573.08/414,823.33 = 191,680.98/x
  3. Step 3: Cross multiply
    300,573.08x = 414,823.33 × 191,680.98
  4. Step 4: Simplify right side
    300,573.08x = 79,513,742,360.45
  5. Step 5: Solve for x
    x = 79,513,742,360.45/300,573.08
  6. Step 6: Final answer
    x = 264,540.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.