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Finding the Fourth Proportional to 298,683.84, 447,973.92 and 101,691.84

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Solution

The fourth proportional to 298,683.84, 447,973.92 and 101,691.84 is: 152,520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,683.84 : 447,973.92 = 101,691.84 : x
  2. Step 2: Convert to fraction form
    298,683.84/447,973.92 = 101,691.84/x
  3. Step 3: Cross multiply
    298,683.84x = 447,973.92 × 101,691.84
  4. Step 4: Simplify right side
    298,683.84x = 45,555,292,196.81
  5. Step 5: Solve for x
    x = 45,555,292,196.81/298,683.84
  6. Step 6: Final answer
    x = 152,520.11

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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.