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Finding the Fourth Proportional to 334,668.42, 461,680.29 and 221,585.94

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Solution

The fourth proportional to 334,668.42, 461,680.29 and 221,585.94 is: 305,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,668.42 : 461,680.29 = 221,585.94 : x
  2. Step 2: Convert to fraction form
    334,668.42/461,680.29 = 221,585.94/x
  3. Step 3: Cross multiply
    334,668.42x = 461,680.29 × 221,585.94
  4. Step 4: Simplify right side
    334,668.42x = 102,301,861,039.12
  5. Step 5: Solve for x
    x = 102,301,861,039.12/334,668.42
  6. Step 6: Final answer
    x = 305,681.25

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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.