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Finding the Fourth Proportional to 685,756.40, 946,455.96 and 410,096.24

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Solution

The fourth proportional to 685,756.40, 946,455.96 and 410,096.24 is: 565,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,756.40 : 946,455.96 = 410,096.24 : x
  2. Step 2: Convert to fraction form
    685,756.40/946,455.96 = 410,096.24/x
  3. Step 3: Cross multiply
    685,756.40x = 946,455.96 × 410,096.24
  4. Step 4: Simplify right side
    685,756.40x = 388,138,030,521.59
  5. Step 5: Solve for x
    x = 388,138,030,521.59/685,756.40
  6. Step 6: Final answer
    x = 565,999.87

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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.