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Finding the Fourth Proportional to 477,172.96, 715,314.48 and 161,410.12

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Solution

The fourth proportional to 477,172.96, 715,314.48 and 161,410.12 is: 241,964.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,172.96 : 715,314.48 = 161,410.12 : x
  2. Step 2: Convert to fraction form
    477,172.96/715,314.48 = 161,410.12/x
  3. Step 3: Cross multiply
    477,172.96x = 715,314.48 × 161,410.12
  4. Step 4: Simplify right side
    477,172.96x = 115,458,996,054.54
  5. Step 5: Solve for x
    x = 115,458,996,054.54/477,172.96
  6. Step 6: Final answer
    x = 241,964.67

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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.