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Finding the Fourth Proportional to 314,069.22, 470,015.19 and 301,005.54

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Solution

The fourth proportional to 314,069.22, 470,015.19 and 301,005.54 is: 450,464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,069.22 : 470,015.19 = 301,005.54 : x
  2. Step 2: Convert to fraction form
    314,069.22/470,015.19 = 301,005.54/x
  3. Step 3: Cross multiply
    314,069.22x = 470,015.19 × 301,005.54
  4. Step 4: Simplify right side
    314,069.22x = 141,477,176,074.15
  5. Step 5: Solve for x
    x = 141,477,176,074.15/314,069.22
  6. Step 6: Final answer
    x = 450,464.95

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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.