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Finding the Fourth Proportional to 298,454.22, 447,588.45 and 98,729.82

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Solution

The fourth proportional to 298,454.22, 447,588.45 and 98,729.82 is: 148,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,454.22 : 447,588.45 = 98,729.82 : x
  2. Step 2: Convert to fraction form
    298,454.22/447,588.45 = 98,729.82/x
  3. Step 3: Cross multiply
    298,454.22x = 447,588.45 × 98,729.82
  4. Step 4: Simplify right side
    298,454.22x = 44,190,327,102.58
  5. Step 5: Solve for x
    x = 44,190,327,102.58/298,454.22
  6. Step 6: Final answer
    x = 148,064.00

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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.