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Finding the Fourth Proportional to 532,085.22, 734,217.30 and 305,803.62

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Solution

The fourth proportional to 532,085.22, 734,217.30 and 305,803.62 is: 421,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,085.22 : 734,217.30 = 305,803.62 : x
  2. Step 2: Convert to fraction form
    532,085.22/734,217.30 = 305,803.62/x
  3. Step 3: Cross multiply
    532,085.22x = 734,217.30 × 305,803.62
  4. Step 4: Simplify right side
    532,085.22x = 224,526,308,206.63
  5. Step 5: Solve for x
    x = 224,526,308,206.63/532,085.22
  6. Step 6: Final answer
    x = 421,974.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.