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Finding the Fourth Proportional to 585,074, 877,611 and 141,842

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Solution

The fourth proportional to 585,074, 877,611 and 141,842 is: 212,763

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,074 : 877,611 = 141,842 : x
  2. Step 2: Convert to fraction form
    585,074/877,611 = 141,842/x
  3. Step 3: Cross multiply
    585,074x = 877,611 × 141,842
  4. Step 4: Simplify right side
    585,074x = 124,482,099,462
  5. Step 5: Solve for x
    x = 124,482,099,462/585,074
  6. Step 6: Final answer
    x = 212,763

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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.