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Finding the Fourth Proportional to 368,317.71, 508,274.76 and 204,971.46

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Solution

The fourth proportional to 368,317.71, 508,274.76 and 204,971.46 is: 282,858.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,317.71 : 508,274.76 = 204,971.46 : x
  2. Step 2: Convert to fraction form
    368,317.71/508,274.76 = 204,971.46/x
  3. Step 3: Cross multiply
    368,317.71x = 508,274.76 × 204,971.46
  4. Step 4: Simplify right side
    368,317.71x = 104,181,819,638.35
  5. Step 5: Solve for x
    x = 104,181,819,638.35/368,317.71
  6. Step 6: Final answer
    x = 282,858.57

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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.