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Finding the Fourth Proportional to 686,374.02, 946,875.75 and 431,865.54

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Solution

The fourth proportional to 686,374.02, 946,875.75 and 431,865.54 is: 595,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,374.02 : 946,875.75 = 431,865.54 : x
  2. Step 2: Convert to fraction form
    686,374.02/946,875.75 = 431,865.54/x
  3. Step 3: Cross multiply
    686,374.02x = 946,875.75 × 431,865.54
  4. Step 4: Simplify right side
    686,374.02x = 408,923,007,086.66
  5. Step 5: Solve for x
    x = 408,923,007,086.66/686,374.02
  6. Step 6: Final answer
    x = 595,772.85

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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.