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Finding the Fourth Proportional to 665,633.70, 997,903.80 and 286,845.30

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Solution

The fourth proportional to 665,633.70, 997,903.80 and 286,845.30 is: 430,032.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,633.70 : 997,903.80 = 286,845.30 : x
  2. Step 2: Convert to fraction form
    665,633.70/997,903.80 = 286,845.30/x
  3. Step 3: Cross multiply
    665,633.70x = 997,903.80 × 286,845.30
  4. Step 4: Simplify right side
    665,633.70x = 286,244,014,882.14
  5. Step 5: Solve for x
    x = 286,244,014,882.14/665,633.70
  6. Step 6: Final answer
    x = 430,032.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.