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Finding the Fourth Proportional to 336,262.16, 464,061.48 and 193,022.48

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Solution

The fourth proportional to 336,262.16, 464,061.48 and 193,022.48 is: 266,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,262.16 : 464,061.48 = 193,022.48 : x
  2. Step 2: Convert to fraction form
    336,262.16/464,061.48 = 193,022.48/x
  3. Step 3: Cross multiply
    336,262.16x = 464,061.48 × 193,022.48
  4. Step 4: Simplify right side
    336,262.16x = 89,574,297,742.07
  5. Step 5: Solve for x
    x = 89,574,297,742.07/336,262.16
  6. Step 6: Final answer
    x = 266,382.33

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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.