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Finding the Fourth Proportional to 567,398.49, 783,004.78 and 309,275.38

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Solution

The fourth proportional to 567,398.49, 783,004.78 and 309,275.38 is: 426,797.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,398.49 : 783,004.78 = 309,275.38 : x
  2. Step 2: Convert to fraction form
    567,398.49/783,004.78 = 309,275.38/x
  3. Step 3: Cross multiply
    567,398.49x = 783,004.78 × 309,275.38
  4. Step 4: Simplify right side
    567,398.49x = 242,164,100,501.99
  5. Step 5: Solve for x
    x = 242,164,100,501.99/567,398.49
  6. Step 6: Final answer
    x = 426,797.23

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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.