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Finding the Fourth Proportional to 411,016, 616,524 and 115,528

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Solution

The fourth proportional to 411,016, 616,524 and 115,528 is: 173,292

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,016 : 616,524 = 115,528 : x
  2. Step 2: Convert to fraction form
    411,016/616,524 = 115,528/x
  3. Step 3: Cross multiply
    411,016x = 616,524 × 115,528
  4. Step 4: Simplify right side
    411,016x = 71,225,784,672
  5. Step 5: Solve for x
    x = 71,225,784,672/411,016
  6. Step 6: Final answer
    x = 173,292

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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.