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Finding the Fourth Proportional to 229,643.79, 317,063.07 and 205,369.44

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Solution

The fourth proportional to 229,643.79, 317,063.07 and 205,369.44 is: 283,548.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,643.79 : 317,063.07 = 205,369.44 : x
  2. Step 2: Convert to fraction form
    229,643.79/317,063.07 = 205,369.44/x
  3. Step 3: Cross multiply
    229,643.79x = 317,063.07 × 205,369.44
  4. Step 4: Simplify right side
    229,643.79x = 65,115,065,130.58
  5. Step 5: Solve for x
    x = 65,115,065,130.58/229,643.79
  6. Step 6: Final answer
    x = 283,548.12

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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.