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Finding the Fourth Proportional to 298,809, 448,290.30 and 101,817

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Solution

The fourth proportional to 298,809, 448,290.30 and 101,817 is: 152,751.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,809 : 448,290.30 = 101,817 : x
  2. Step 2: Convert to fraction form
    298,809/448,290.30 = 101,817/x
  3. Step 3: Cross multiply
    298,809x = 448,290.30 × 101,817
  4. Step 4: Simplify right side
    298,809x = 45,643,573,475.10
  5. Step 5: Solve for x
    x = 45,643,573,475.10/298,809
  6. Step 6: Final answer
    x = 152,751.67

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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.