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Finding the Fourth Proportional to 685,768, 946,369.61 and 395,373.81

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Solution

The fourth proportional to 685,768, 946,369.61 and 395,373.81 is: 545,621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,768 : 946,369.61 = 395,373.81 : x
  2. Step 2: Convert to fraction form
    685,768/946,369.61 = 395,373.81/x
  3. Step 3: Cross multiply
    685,768x = 946,369.61 × 395,373.81
  4. Step 4: Simplify right side
    685,768x = 374,169,756,397.05
  5. Step 5: Solve for x
    x = 374,169,756,397.05/685,768
  6. Step 6: Final answer
    x = 545,621.49

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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.