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Finding the Fourth Proportional to 298,423.04, 447,634.60 and 101,431.04

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Solution

The fourth proportional to 298,423.04, 447,634.60 and 101,431.04 is: 152,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,423.04 : 447,634.60 = 101,431.04 : x
  2. Step 2: Convert to fraction form
    298,423.04/447,634.60 = 101,431.04/x
  3. Step 3: Cross multiply
    298,423.04x = 447,634.60 × 101,431.04
  4. Step 4: Simplify right side
    298,423.04x = 45,404,043,017.98
  5. Step 5: Solve for x
    x = 45,404,043,017.98/298,423.04
  6. Step 6: Final answer
    x = 152,146.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.