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Finding the Fourth Proportional to 468,133.20, 702,199.80 and 389,336.40

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Solution

The fourth proportional to 468,133.20, 702,199.80 and 389,336.40 is: 584,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,133.20 : 702,199.80 = 389,336.40 : x
  2. Step 2: Convert to fraction form
    468,133.20/702,199.80 = 389,336.40/x
  3. Step 3: Cross multiply
    468,133.20x = 702,199.80 × 389,336.40
  4. Step 4: Simplify right side
    468,133.20x = 273,391,942,212.72
  5. Step 5: Solve for x
    x = 273,391,942,212.72/468,133.20
  6. Step 6: Final answer
    x = 584,004.60

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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.