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Finding the Fourth Proportional to 298,666.98, 448,022.34 and 118,822.68

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Solution

The fourth proportional to 298,666.98, 448,022.34 and 118,822.68 is: 178,242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,666.98 : 448,022.34 = 118,822.68 : x
  2. Step 2: Convert to fraction form
    298,666.98/448,022.34 = 118,822.68/x
  3. Step 3: Cross multiply
    298,666.98x = 448,022.34 × 118,822.68
  4. Step 4: Simplify right side
    298,666.98x = 53,235,215,138.67
  5. Step 5: Solve for x
    x = 53,235,215,138.67/298,666.98
  6. Step 6: Final answer
    x = 178,242.72

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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.