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Finding the Fourth Proportional to 298,334.79, 447,457.73 and 98,656.22

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Solution

The fourth proportional to 298,334.79, 447,457.73 and 98,656.22 is: 147,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,334.79 : 447,457.73 = 98,656.22 : x
  2. Step 2: Convert to fraction form
    298,334.79/447,457.73 = 98,656.22/x
  3. Step 3: Cross multiply
    298,334.79x = 447,457.73 × 98,656.22
  4. Step 4: Simplify right side
    298,334.79x = 44,144,488,876.94
  5. Step 5: Solve for x
    x = 44,144,488,876.94/298,334.79
  6. Step 6: Final answer
    x = 147,969.63

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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.