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Finding the Fourth Proportional to 537,441.54, 806,300.81 and 385,814.40

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Solution

The fourth proportional to 537,441.54, 806,300.81 and 385,814.40 is: 578,821.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,441.54 : 806,300.81 = 385,814.40 : x
  2. Step 2: Convert to fraction form
    537,441.54/806,300.81 = 385,814.40/x
  3. Step 3: Cross multiply
    537,441.54x = 806,300.81 × 385,814.40
  4. Step 4: Simplify right side
    537,441.54x = 311,082,463,229.66
  5. Step 5: Solve for x
    x = 311,082,463,229.66/537,441.54
  6. Step 6: Final answer
    x = 578,821.03

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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.