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Finding the Fourth Proportional to 300,343.14, 414,307.17 and 192,792.42

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Solution

The fourth proportional to 300,343.14, 414,307.17 and 192,792.42 is: 265,946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,343.14 : 414,307.17 = 192,792.42 : x
  2. Step 2: Convert to fraction form
    300,343.14/414,307.17 = 192,792.42/x
  3. Step 3: Cross multiply
    300,343.14x = 414,307.17 × 192,792.42
  4. Step 4: Simplify right side
    300,343.14x = 79,875,281,927.65
  5. Step 5: Solve for x
    x = 79,875,281,927.65/300,343.14
  6. Step 6: Final answer
    x = 265,946.75

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1.5x scale

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.