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Finding the Fourth Proportional to 296,967.50, 409,707.74 and 195,048.16

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Solution

The fourth proportional to 296,967.50, 409,707.74 and 195,048.16 is: 269,095.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,967.50 : 409,707.74 = 195,048.16 : x
  2. Step 2: Convert to fraction form
    296,967.50/409,707.74 = 195,048.16/x
  3. Step 3: Cross multiply
    296,967.50x = 409,707.74 × 195,048.16
  4. Step 4: Simplify right side
    296,967.50x = 79,912,740,824.76
  5. Step 5: Solve for x
    x = 79,912,740,824.76/296,967.50
  6. Step 6: Final answer
    x = 269,095.91

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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.