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Finding the Fourth Proportional to 298,522.64, 447,615.48 and 111,458

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Solution

The fourth proportional to 298,522.64, 447,615.48 and 111,458 is: 167,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,522.64 : 447,615.48 = 111,458 : x
  2. Step 2: Convert to fraction form
    298,522.64/447,615.48 = 111,458/x
  3. Step 3: Cross multiply
    298,522.64x = 447,615.48 × 111,458
  4. Step 4: Simplify right side
    298,522.64x = 49,890,326,169.84
  5. Step 5: Solve for x
    x = 49,890,326,169.84/298,522.64
  6. Step 6: Final answer
    x = 167,124.10

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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.