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Finding the Fourth Proportional to 465,406.40, 698,455.20 and 185,124.80

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Solution

The fourth proportional to 465,406.40, 698,455.20 and 185,124.80 is: 277,824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,406.40 : 698,455.20 = 185,124.80 : x
  2. Step 2: Convert to fraction form
    465,406.40/698,455.20 = 185,124.80/x
  3. Step 3: Cross multiply
    465,406.40x = 698,455.20 × 185,124.80
  4. Step 4: Simplify right side
    465,406.40x = 129,301,379,208.96
  5. Step 5: Solve for x
    x = 129,301,379,208.96/465,406.40
  6. Step 6: Final answer
    x = 277,824.67

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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.