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Finding the Fourth Proportional to 686,156.54, 946,945.88 and 414,290.56

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Solution

The fourth proportional to 686,156.54, 946,945.88 and 414,290.56 is: 571,751.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,156.54 : 946,945.88 = 414,290.56 : x
  2. Step 2: Convert to fraction form
    686,156.54/946,945.88 = 414,290.56/x
  3. Step 3: Cross multiply
    686,156.54x = 946,945.88 × 414,290.56
  4. Step 4: Simplify right side
    686,156.54x = 392,310,738,914.89
  5. Step 5: Solve for x
    x = 392,310,738,914.89/686,156.54
  6. Step 6: Final answer
    x = 571,751.07

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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.