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Finding the Fourth Proportional to 686,102.87, 946,835.64 and 399,641.40

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Solution

The fourth proportional to 686,102.87, 946,835.64 and 399,641.40 is: 551,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,102.87 : 946,835.64 = 399,641.40 : x
  2. Step 2: Convert to fraction form
    686,102.87/946,835.64 = 399,641.40/x
  3. Step 3: Cross multiply
    686,102.87x = 946,835.64 × 399,641.40
  4. Step 4: Simplify right side
    686,102.87x = 378,394,720,739.50
  5. Step 5: Solve for x
    x = 378,394,720,739.50/686,102.87
  6. Step 6: Final answer
    x = 551,513.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.