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Finding the Fourth Proportional to 315,302.46, 434,378.07 and 219,636.06

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Solution

The fourth proportional to 315,302.46, 434,378.07 and 219,636.06 is: 302,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,302.46 : 434,378.07 = 219,636.06 : x
  2. Step 2: Convert to fraction form
    315,302.46/434,378.07 = 219,636.06/x
  3. Step 3: Cross multiply
    315,302.46x = 434,378.07 × 219,636.06
  4. Step 4: Simplify right side
    315,302.46x = 95,405,087,845.20
  5. Step 5: Solve for x
    x = 95,405,087,845.20/315,302.46
  6. Step 6: Final answer
    x = 302,582.76

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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.