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Finding the Fourth Proportional to 475,173.99, 655,740.09 and 284,187.38

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Solution

The fourth proportional to 475,173.99, 655,740.09 and 284,187.38 is: 392,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,173.99 : 655,740.09 = 284,187.38 : x
  2. Step 2: Convert to fraction form
    475,173.99/655,740.09 = 284,187.38/x
  3. Step 3: Cross multiply
    475,173.99x = 655,740.09 × 284,187.38
  4. Step 4: Simplify right side
    475,173.99x = 186,353,054,859.36
  5. Step 5: Solve for x
    x = 186,353,054,859.36/475,173.99
  6. Step 6: Final answer
    x = 392,178.57

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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.