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Finding the Fourth Proportional to 298,135.49, 446,917.10 and 191,220.35

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Solution

The fourth proportional to 298,135.49, 446,917.10 and 191,220.35 is: 286,647.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,135.49 : 446,917.10 = 191,220.35 : x
  2. Step 2: Convert to fraction form
    298,135.49/446,917.10 = 191,220.35/x
  3. Step 3: Cross multiply
    298,135.49x = 446,917.10 × 191,220.35
  4. Step 4: Simplify right side
    298,135.49x = 85,459,641,092.30
  5. Step 5: Solve for x
    x = 85,459,641,092.30/298,135.49
  6. Step 6: Final answer
    x = 286,647.00

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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.