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Finding the Fourth Proportional to 685,958.36, 946,094.19 and 413,742.47

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Solution

The fourth proportional to 685,958.36, 946,094.19 and 413,742.47 is: 570,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,958.36 : 946,094.19 = 413,742.47 : x
  2. Step 2: Convert to fraction form
    685,958.36/946,094.19 = 413,742.47/x
  3. Step 3: Cross multiply
    685,958.36x = 946,094.19 × 413,742.47
  4. Step 4: Simplify right side
    685,958.36x = 391,439,342,292.78
  5. Step 5: Solve for x
    x = 391,439,342,292.78/685,958.36
  6. Step 6: Final answer
    x = 570,645.93

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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.