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Finding the Fourth Proportional to 762,765.16, 1,144,202.46 and 201,793

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Solution

The fourth proportional to 762,765.16, 1,144,202.46 and 201,793 is: 302,703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,765.16 : 1,144,202.46 = 201,793 : x
  2. Step 2: Convert to fraction form
    762,765.16/1,144,202.46 = 201,793/x
  3. Step 3: Cross multiply
    762,765.16x = 1,144,202.46 × 201,793
  4. Step 4: Simplify right side
    762,765.16x = 230,892,047,010.78
  5. Step 5: Solve for x
    x = 230,892,047,010.78/762,765.16
  6. Step 6: Final answer
    x = 302,703.98

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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.