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Finding the Fourth Proportional to 468,447.90, 702,999.90 and 202,399.35

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Solution

The fourth proportional to 468,447.90, 702,999.90 and 202,399.35 is: 303,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,447.90 : 702,999.90 = 202,399.35 : x
  2. Step 2: Convert to fraction form
    468,447.90/702,999.90 = 202,399.35/x
  3. Step 3: Cross multiply
    468,447.90x = 702,999.90 × 202,399.35
  4. Step 4: Simplify right side
    468,447.90x = 142,286,722,810.07
  5. Step 5: Solve for x
    x = 142,286,722,810.07/468,447.90
  6. Step 6: Final answer
    x = 303,740.76

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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.