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Finding the Fourth Proportional to 613,006.40, 919,544.16 and 186,556.10

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Solution

The fourth proportional to 613,006.40, 919,544.16 and 186,556.10 is: 279,844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,006.40 : 919,544.16 = 186,556.10 : x
  2. Step 2: Convert to fraction form
    613,006.40/919,544.16 = 186,556.10/x
  3. Step 3: Cross multiply
    613,006.40x = 919,544.16 × 186,556.10
  4. Step 4: Simplify right side
    613,006.40x = 171,546,572,267.38
  5. Step 5: Solve for x
    x = 171,546,572,267.38/613,006.40
  6. Step 6: Final answer
    x = 279,844.67

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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.