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Finding the Fourth Proportional to 298,820.34, 412,361.58 and 162,851.52

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Solution

The fourth proportional to 298,820.34, 412,361.58 and 162,851.52 is: 224,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,820.34 : 412,361.58 = 162,851.52 : x
  2. Step 2: Convert to fraction form
    298,820.34/412,361.58 = 162,851.52/x
  3. Step 3: Cross multiply
    298,820.34x = 412,361.58 × 162,851.52
  4. Step 4: Simplify right side
    298,820.34x = 67,153,710,092.60
  5. Step 5: Solve for x
    x = 67,153,710,092.60/298,820.34
  6. Step 6: Final answer
    x = 224,729.38

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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.