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Finding the Fourth Proportional to 313,482.60, 470,019.42 and 113,765.16

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Solution

The fourth proportional to 313,482.60, 470,019.42 and 113,765.16 is: 170,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,482.60 : 470,019.42 = 113,765.16 : x
  2. Step 2: Convert to fraction form
    313,482.60/470,019.42 = 113,765.16/x
  3. Step 3: Cross multiply
    313,482.60x = 470,019.42 × 113,765.16
  4. Step 4: Simplify right side
    313,482.60x = 53,471,834,519.41
  5. Step 5: Solve for x
    x = 53,471,834,519.41/313,482.60
  6. Step 6: Final answer
    x = 170,573.53

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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.