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Finding the Fourth Proportional to 800,533.14, 1,105,096.43 and 510,533.87

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Solution

The fourth proportional to 800,533.14, 1,105,096.43 and 510,533.87 is: 704,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,533.14 : 1,105,096.43 = 510,533.87 : x
  2. Step 2: Convert to fraction form
    800,533.14/1,105,096.43 = 510,533.87/x
  3. Step 3: Cross multiply
    800,533.14x = 1,105,096.43 × 510,533.87
  4. Step 4: Simplify right side
    800,533.14x = 564,189,152,881.94
  5. Step 5: Solve for x
    x = 564,189,152,881.94/800,533.14
  6. Step 6: Final answer
    x = 704,766.77

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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.