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Finding the Fourth Proportional to 298,546.16, 411,989.59 and 169,483.50

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Solution

The fourth proportional to 298,546.16, 411,989.59 and 169,483.50 is: 233,884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,546.16 : 411,989.59 = 169,483.50 : x
  2. Step 2: Convert to fraction form
    298,546.16/411,989.59 = 169,483.50/x
  3. Step 3: Cross multiply
    298,546.16x = 411,989.59 × 169,483.50
  4. Step 4: Simplify right side
    298,546.16x = 69,825,437,676.77
  5. Step 5: Solve for x
    x = 69,825,437,676.77/298,546.16
  6. Step 6: Final answer
    x = 233,884.90

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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.