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Finding the Fourth Proportional to 532,114.30, 734,334.90 and 302,665.67

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Solution

The fourth proportional to 532,114.30, 734,334.90 and 302,665.67 is: 417,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,114.30 : 734,334.90 = 302,665.67 : x
  2. Step 2: Convert to fraction form
    532,114.30/734,334.90 = 302,665.67/x
  3. Step 3: Cross multiply
    532,114.30x = 734,334.90 × 302,665.67
  4. Step 4: Simplify right side
    532,114.30x = 222,257,964,512.88
  5. Step 5: Solve for x
    x = 222,257,964,512.88/532,114.30
  6. Step 6: Final answer
    x = 417,688.39

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Why These Related Problems?

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