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Finding the Fourth Proportional to 405,441.40, 559,416.34 and 242,066.17

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Solution

The fourth proportional to 405,441.40, 559,416.34 and 242,066.17 is: 333,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,441.40 : 559,416.34 = 242,066.17 : x
  2. Step 2: Convert to fraction form
    405,441.40/559,416.34 = 242,066.17/x
  3. Step 3: Cross multiply
    405,441.40x = 559,416.34 × 242,066.17
  4. Step 4: Simplify right side
    405,441.40x = 135,415,770,859.22
  5. Step 5: Solve for x
    x = 135,415,770,859.22/405,441.40
  6. Step 6: Final answer
    x = 333,995.91

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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.