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Finding the Fourth Proportional to 298,047.86, 411,308.80 and 162,083.10

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Solution

The fourth proportional to 298,047.86, 411,308.80 and 162,083.10 is: 223,676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,047.86 : 411,308.80 = 162,083.10 : x
  2. Step 2: Convert to fraction form
    298,047.86/411,308.80 = 162,083.10/x
  3. Step 3: Cross multiply
    298,047.86x = 411,308.80 × 162,083.10
  4. Step 4: Simplify right side
    298,047.86x = 66,666,205,361.28
  5. Step 5: Solve for x
    x = 66,666,205,361.28/298,047.86
  6. Step 6: Final answer
    x = 223,676.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.