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Finding the Fourth Proportional to 685,986.57, 946,696.71 and 414,050.74

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Solution

The fourth proportional to 685,986.57, 946,696.71 and 414,050.74 is: 571,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,986.57 : 946,696.71 = 414,050.74 : x
  2. Step 2: Convert to fraction form
    685,986.57/946,696.71 = 414,050.74/x
  3. Step 3: Cross multiply
    685,986.57x = 946,696.71 × 414,050.74
  4. Step 4: Simplify right side
    685,986.57x = 391,980,472,517.01
  5. Step 5: Solve for x
    x = 391,980,472,517.01/685,986.57
  6. Step 6: Final answer
    x = 571,411.29

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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.