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Finding the Fourth Proportional to 288,963, 398,768.94 and 188,361

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Solution

The fourth proportional to 288,963, 398,768.94 and 188,361 is: 259,938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,963 : 398,768.94 = 188,361 : x
  2. Step 2: Convert to fraction form
    288,963/398,768.94 = 188,361/x
  3. Step 3: Cross multiply
    288,963x = 398,768.94 × 188,361
  4. Step 4: Simplify right side
    288,963x = 75,112,516,307.34
  5. Step 5: Solve for x
    x = 75,112,516,307.34/288,963
  6. Step 6: Final answer
    x = 259,938.18

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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.