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Finding the Fourth Proportional to 734,982, 1,102,473 and 236,346

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Solution

The fourth proportional to 734,982, 1,102,473 and 236,346 is: 354,519

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,982 : 1,102,473 = 236,346 : x
  2. Step 2: Convert to fraction form
    734,982/1,102,473 = 236,346/x
  3. Step 3: Cross multiply
    734,982x = 1,102,473 × 236,346
  4. Step 4: Simplify right side
    734,982x = 260,565,083,658
  5. Step 5: Solve for x
    x = 260,565,083,658/734,982
  6. Step 6: Final answer
    x = 354,519

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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.