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Finding the Fourth Proportional to 585,016, 877,524 and 141,784

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Solution

The fourth proportional to 585,016, 877,524 and 141,784 is: 212,676

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,016 : 877,524 = 141,784 : x
  2. Step 2: Convert to fraction form
    585,016/877,524 = 141,784/x
  3. Step 3: Cross multiply
    585,016x = 877,524 × 141,784
  4. Step 4: Simplify right side
    585,016x = 124,418,862,816
  5. Step 5: Solve for x
    x = 124,418,862,816/585,016
  6. Step 6: Final answer
    x = 212,676

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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.