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Finding the Fourth Proportional to 416,061.29, 624,091.94 and 176,213.00

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Solution

The fourth proportional to 416,061.29, 624,091.94 and 176,213.00 is: 264,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,061.29 : 624,091.94 = 176,213.00 : x
  2. Step 2: Convert to fraction form
    416,061.29/624,091.94 = 176,213.00/x
  3. Step 3: Cross multiply
    416,061.29x = 624,091.94 × 176,213.00
  4. Step 4: Simplify right side
    416,061.29x = 109,973,109,021.70
  5. Step 5: Solve for x
    x = 109,973,109,021.70/416,061.29
  6. Step 6: Final answer
    x = 264,319.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.