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Finding the Fourth Proportional to 686,096.91, 946,813.73 and 417,824.91

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Solution

The fourth proportional to 686,096.91, 946,813.73 and 417,824.91 is: 576,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,096.91 : 946,813.73 = 417,824.91 : x
  2. Step 2: Convert to fraction form
    686,096.91/946,813.73 = 417,824.91/x
  3. Step 3: Cross multiply
    686,096.91x = 946,813.73 × 417,824.91
  4. Step 4: Simplify right side
    686,096.91x = 395,602,362,568.58
  5. Step 5: Solve for x
    x = 395,602,362,568.58/686,096.91
  6. Step 6: Final answer
    x = 576,598.37

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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.