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Finding the Fourth Proportional to 298,034.40, 447,051.60 and 191,746.20

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Solution

The fourth proportional to 298,034.40, 447,051.60 and 191,746.20 is: 287,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,034.40 : 447,051.60 = 191,746.20 : x
  2. Step 2: Convert to fraction form
    298,034.40/447,051.60 = 191,746.20/x
  3. Step 3: Cross multiply
    298,034.40x = 447,051.60 × 191,746.20
  4. Step 4: Simplify right side
    298,034.40x = 85,720,445,503.92
  5. Step 5: Solve for x
    x = 85,720,445,503.92/298,034.40
  6. Step 6: Final answer
    x = 287,619.30

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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.