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Finding the Fourth Proportional to 686,783.64, 947,758.44 and 384,977.64

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Solution

The fourth proportional to 686,783.64, 947,758.44 and 384,977.64 is: 531,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,783.64 : 947,758.44 = 384,977.64 : x
  2. Step 2: Convert to fraction form
    686,783.64/947,758.44 = 384,977.64/x
  3. Step 3: Cross multiply
    686,783.64x = 947,758.44 × 384,977.64
  4. Step 4: Simplify right side
    686,783.64x = 364,865,807,521.28
  5. Step 5: Solve for x
    x = 364,865,807,521.28/686,783.64
  6. Step 6: Final answer
    x = 531,267.47

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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.