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Finding the Fourth Proportional to 468,499.37, 702,300.11 and 198,255.76

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Solution

The fourth proportional to 468,499.37, 702,300.11 and 198,255.76 is: 297,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,499.37 : 702,300.11 = 198,255.76 : x
  2. Step 2: Convert to fraction form
    468,499.37/702,300.11 = 198,255.76/x
  3. Step 3: Cross multiply
    468,499.37x = 702,300.11 × 198,255.76
  4. Step 4: Simplify right side
    468,499.37x = 139,235,038,544.63
  5. Step 5: Solve for x
    x = 139,235,038,544.63/468,499.37
  6. Step 6: Final answer
    x = 297,193.65

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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.