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Finding the Fourth Proportional to 349,634.40, 524,710.80 and 231,266.40

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Solution

The fourth proportional to 349,634.40, 524,710.80 and 231,266.40 is: 347,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,634.40 : 524,710.80 = 231,266.40 : x
  2. Step 2: Convert to fraction form
    349,634.40/524,710.80 = 231,266.40/x
  3. Step 3: Cross multiply
    349,634.40x = 524,710.80 × 231,266.40
  4. Step 4: Simplify right side
    349,634.40x = 121,347,977,757.12
  5. Step 5: Solve for x
    x = 121,347,977,757.12/349,634.40
  6. Step 6: Final answer
    x = 347,071.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.