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Finding the Fourth Proportional to 360,984, 541,476 and 98,328

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Solution

The fourth proportional to 360,984, 541,476 and 98,328 is: 147,492

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,984 : 541,476 = 98,328 : x
  2. Step 2: Convert to fraction form
    360,984/541,476 = 98,328/x
  3. Step 3: Cross multiply
    360,984x = 541,476 × 98,328
  4. Step 4: Simplify right side
    360,984x = 53,242,252,128
  5. Step 5: Solve for x
    x = 53,242,252,128/360,984
  6. Step 6: Final answer
    x = 147,492

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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.