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Finding the Fourth Proportional to 298,669.40, 448,004.10 and 111,656.60

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Solution

The fourth proportional to 298,669.40, 448,004.10 and 111,656.60 is: 167,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,669.40 : 448,004.10 = 111,656.60 : x
  2. Step 2: Convert to fraction form
    298,669.40/448,004.10 = 111,656.60/x
  3. Step 3: Cross multiply
    298,669.40x = 448,004.10 × 111,656.60
  4. Step 4: Simplify right side
    298,669.40x = 50,022,614,592.06
  5. Step 5: Solve for x
    x = 50,022,614,592.06/298,669.40
  6. Step 6: Final answer
    x = 167,484.90

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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.