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Finding the Fourth Proportional to 313,266.40, 469,899.60 and 102,853.60

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Solution

The fourth proportional to 313,266.40, 469,899.60 and 102,853.60 is: 154,280.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,266.40 : 469,899.60 = 102,853.60 : x
  2. Step 2: Convert to fraction form
    313,266.40/469,899.60 = 102,853.60/x
  3. Step 3: Cross multiply
    313,266.40x = 469,899.60 × 102,853.60
  4. Step 4: Simplify right side
    313,266.40x = 48,330,865,498.56
  5. Step 5: Solve for x
    x = 48,330,865,498.56/313,266.40
  6. Step 6: Final answer
    x = 154,280.40

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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.