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Finding the Fourth Proportional to 298,598.74, 446,845.75 and 186,331.82

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Solution

The fourth proportional to 298,598.74, 446,845.75 and 186,331.82 is: 278,841.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,598.74 : 446,845.75 = 186,331.82 : x
  2. Step 2: Convert to fraction form
    298,598.74/446,845.75 = 186,331.82/x
  3. Step 3: Cross multiply
    298,598.74x = 446,845.75 × 186,331.82
  4. Step 4: Simplify right side
    298,598.74x = 83,261,579,156.71
  5. Step 5: Solve for x
    x = 83,261,579,156.71/298,598.74
  6. Step 6: Final answer
    x = 278,841.03

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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.