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Finding the Fourth Proportional to 311,245.60, 466,884.94 and 98,030.18

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Solution

The fourth proportional to 311,245.60, 466,884.94 and 98,030.18 is: 147,050.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,245.60 : 466,884.94 = 98,030.18 : x
  2. Step 2: Convert to fraction form
    311,245.60/466,884.94 = 98,030.18/x
  3. Step 3: Cross multiply
    311,245.60x = 466,884.94 × 98,030.18
  4. Step 4: Simplify right side
    311,245.60x = 45,768,814,707.49
  5. Step 5: Solve for x
    x = 45,768,814,707.49/311,245.60
  6. Step 6: Final answer
    x = 147,050.48

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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.