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Finding the Fourth Proportional to 303,283.44, 418,532.54 and 167,319

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Solution

The fourth proportional to 303,283.44, 418,532.54 and 167,319 is: 230,900.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,283.44 : 418,532.54 = 167,319 : x
  2. Step 2: Convert to fraction form
    303,283.44/418,532.54 = 167,319/x
  3. Step 3: Cross multiply
    303,283.44x = 418,532.54 × 167,319
  4. Step 4: Simplify right side
    303,283.44x = 70,028,445,223.67
  5. Step 5: Solve for x
    x = 70,028,445,223.67/303,283.44
  6. Step 6: Final answer
    x = 230,900.99

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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.