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Finding the Fourth Proportional to 298,530.79, 447,713.05 and 98,866.74

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Solution

The fourth proportional to 298,530.79, 447,713.05 and 98,866.74 is: 148,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,530.79 : 447,713.05 = 98,866.74 : x
  2. Step 2: Convert to fraction form
    298,530.79/447,713.05 = 98,866.74/x
  3. Step 3: Cross multiply
    298,530.79x = 447,713.05 × 98,866.74
  4. Step 4: Simplify right side
    298,530.79x = 44,263,929,708.96
  5. Step 5: Solve for x
    x = 44,263,929,708.96/298,530.79
  6. Step 6: Final answer
    x = 148,272.58

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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.