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Finding the Fourth Proportional to 334,574.24, 461,600 and 213,786.22

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Solution

The fourth proportional to 334,574.24, 461,600 and 213,786.22 is: 294,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,574.24 : 461,600 = 213,786.22 : x
  2. Step 2: Convert to fraction form
    334,574.24/461,600 = 213,786.22/x
  3. Step 3: Cross multiply
    334,574.24x = 461,600 × 213,786.22
  4. Step 4: Simplify right side
    334,574.24x = 98,683,719,152
  5. Step 5: Solve for x
    x = 98,683,719,152/334,574.24
  6. Step 6: Final answer
    x = 294,953.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.