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Finding the Fourth Proportional to 685,912, 946,559.04 and 384,112.96

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Solution

The fourth proportional to 685,912, 946,559.04 and 384,112.96 is: 530,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,912 : 946,559.04 = 384,112.96 : x
  2. Step 2: Convert to fraction form
    685,912/946,559.04 = 384,112.96/x
  3. Step 3: Cross multiply
    685,912x = 946,559.04 × 384,112.96
  4. Step 4: Simplify right side
    685,912x = 363,585,594,669.16
  5. Step 5: Solve for x
    x = 363,585,594,669.16/685,912
  6. Step 6: Final answer
    x = 530,076.15

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Why These Related Problems?

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