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Finding the Fourth Proportional to 298,627.76, 412,094.04 and 162,659

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Solution

The fourth proportional to 298,627.76, 412,094.04 and 162,659 is: 224,462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,627.76 : 412,094.04 = 162,659 : x
  2. Step 2: Convert to fraction form
    298,627.76/412,094.04 = 162,659/x
  3. Step 3: Cross multiply
    298,627.76x = 412,094.04 × 162,659
  4. Step 4: Simplify right side
    298,627.76x = 67,030,804,452.36
  5. Step 5: Solve for x
    x = 67,030,804,452.36/298,627.76
  6. Step 6: Final answer
    x = 224,462.74

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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.