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Finding the Fourth Proportional to 523,567.80, 722,504.46 and 319,959.56

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Solution

The fourth proportional to 523,567.80, 722,504.46 and 319,959.56 is: 441,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,567.80 : 722,504.46 = 319,959.56 : x
  2. Step 2: Convert to fraction form
    523,567.80/722,504.46 = 319,959.56/x
  3. Step 3: Cross multiply
    523,567.80x = 722,504.46 × 319,959.56
  4. Step 4: Simplify right side
    523,567.80x = 231,172,209,119.64
  5. Step 5: Solve for x
    x = 231,172,209,119.64/523,567.80
  6. Step 6: Final answer
    x = 441,532.52

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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.