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Finding the Fourth Proportional to 421,400.67, 581,533.11 and 230,415.63

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Solution

The fourth proportional to 421,400.67, 581,533.11 and 230,415.63 is: 317,973.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,400.67 : 581,533.11 = 230,415.63 : x
  2. Step 2: Convert to fraction form
    421,400.67/581,533.11 = 230,415.63/x
  3. Step 3: Cross multiply
    421,400.67x = 581,533.11 × 230,415.63
  4. Step 4: Simplify right side
    421,400.67x = 133,994,317,906.51
  5. Step 5: Solve for x
    x = 133,994,317,906.51/421,400.67
  6. Step 6: Final answer
    x = 317,973.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.