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Finding the Fourth Proportional to 734,976, 1,102,464 and 236,340

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Solution

The fourth proportional to 734,976, 1,102,464 and 236,340 is: 354,510

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,976 : 1,102,464 = 236,340 : x
  2. Step 2: Convert to fraction form
    734,976/1,102,464 = 236,340/x
  3. Step 3: Cross multiply
    734,976x = 1,102,464 × 236,340
  4. Step 4: Simplify right side
    734,976x = 260,556,341,760
  5. Step 5: Solve for x
    x = 260,556,341,760/734,976
  6. Step 6: Final answer
    x = 354,510

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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.