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Finding the Fourth Proportional to 313,285.80, 469,823.28 and 113,564.40

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Solution

The fourth proportional to 313,285.80, 469,823.28 and 113,564.40 is: 170,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,285.80 : 469,823.28 = 113,564.40 : x
  2. Step 2: Convert to fraction form
    313,285.80/469,823.28 = 113,564.40/x
  3. Step 3: Cross multiply
    313,285.80x = 469,823.28 × 113,564.40
  4. Step 4: Simplify right side
    313,285.80x = 53,355,198,899.23
  5. Step 5: Solve for x
    x = 53,355,198,899.23/313,285.80
  6. Step 6: Final answer
    x = 170,308.39

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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.