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Finding the Fourth Proportional to 411,656, 568,085.28 and 223,240

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Solution

The fourth proportional to 411,656, 568,085.28 and 223,240 is: 308,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,656 : 568,085.28 = 223,240 : x
  2. Step 2: Convert to fraction form
    411,656/568,085.28 = 223,240/x
  3. Step 3: Cross multiply
    411,656x = 568,085.28 × 223,240
  4. Step 4: Simplify right side
    411,656x = 126,819,357,907.20
  5. Step 5: Solve for x
    x = 126,819,357,907.20/411,656
  6. Step 6: Final answer
    x = 308,071.20

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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.