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Finding the Fourth Proportional to 334,519.92, 461,525.13 and 213,731.91

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Solution

The fourth proportional to 334,519.92, 461,525.13 and 213,731.91 is: 294,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,519.92 : 461,525.13 = 213,731.91 : x
  2. Step 2: Convert to fraction form
    334,519.92/461,525.13 = 213,731.91/x
  3. Step 3: Cross multiply
    334,519.92x = 461,525.13 × 213,731.91
  4. Step 4: Simplify right side
    334,519.92x = 98,642,647,547.90
  5. Step 5: Solve for x
    x = 98,642,647,547.90/334,519.92
  6. Step 6: Final answer
    x = 294,878.25

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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.