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Finding the Fourth Proportional to 505,643.12, 758,577.81 and 190,102.76

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Solution

The fourth proportional to 505,643.12, 758,577.81 and 190,102.76 is: 285,196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,643.12 : 758,577.81 = 190,102.76 : x
  2. Step 2: Convert to fraction form
    505,643.12/758,577.81 = 190,102.76/x
  3. Step 3: Cross multiply
    505,643.12x = 758,577.81 × 190,102.76
  4. Step 4: Simplify right side
    505,643.12x = 144,207,735,355.76
  5. Step 5: Solve for x
    x = 144,207,735,355.76/505,643.12
  6. Step 6: Final answer
    x = 285,196.67

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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.