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Finding the Fourth Proportional to 585,022, 877,533 and 141,790

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Solution

The fourth proportional to 585,022, 877,533 and 141,790 is: 212,685

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,022 : 877,533 = 141,790 : x
  2. Step 2: Convert to fraction form
    585,022/877,533 = 141,790/x
  3. Step 3: Cross multiply
    585,022x = 877,533 × 141,790
  4. Step 4: Simplify right side
    585,022x = 124,425,404,070
  5. Step 5: Solve for x
    x = 124,425,404,070/585,022
  6. Step 6: Final answer
    x = 212,685

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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.