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Finding the Fourth Proportional to 685,841.72, 946,923.71 and 428,111.06

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Solution

The fourth proportional to 685,841.72, 946,923.71 and 428,111.06 is: 591,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,841.72 : 946,923.71 = 428,111.06 : x
  2. Step 2: Convert to fraction form
    685,841.72/946,923.71 = 428,111.06/x
  3. Step 3: Cross multiply
    685,841.72x = 946,923.71 × 428,111.06
  4. Step 4: Simplify right side
    685,841.72x = 405,388,506,352.06
  5. Step 5: Solve for x
    x = 405,388,506,352.06/685,841.72
  6. Step 6: Final answer
    x = 591,081.73

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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.