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Finding the Fourth Proportional to 298,001.40, 446,829.30 and 111,031.80

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Solution

The fourth proportional to 298,001.40, 446,829.30 and 111,031.80 is: 166,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,001.40 : 446,829.30 = 111,031.80 : x
  2. Step 2: Convert to fraction form
    298,001.40/446,829.30 = 111,031.80/x
  3. Step 3: Cross multiply
    298,001.40x = 446,829.30 × 111,031.80
  4. Step 4: Simplify right side
    298,001.40x = 49,612,261,471.74
  5. Step 5: Solve for x
    x = 49,612,261,471.74/298,001.40
  6. Step 6: Final answer
    x = 166,483.32

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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.