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Finding the Fourth Proportional to 984,610, 1,477,057.56 and 310,462.48

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Solution

The fourth proportional to 984,610, 1,477,057.56 and 310,462.48 is: 465,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,610 : 1,477,057.56 = 310,462.48 : x
  2. Step 2: Convert to fraction form
    984,610/1,477,057.56 = 310,462.48/x
  3. Step 3: Cross multiply
    984,610x = 1,477,057.56 × 310,462.48
  4. Step 4: Simplify right side
    984,610x = 458,570,953,180.35
  5. Step 5: Solve for x
    x = 458,570,953,180.35/984,610
  6. Step 6: Final answer
    x = 465,738.67

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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.