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Finding the Fourth Proportional to 585,223, 877,834.92 and 141,991

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Solution

The fourth proportional to 585,223, 877,834.92 and 141,991 is: 212,986.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,223 : 877,834.92 = 141,991 : x
  2. Step 2: Convert to fraction form
    585,223/877,834.92 = 141,991/x
  3. Step 3: Cross multiply
    585,223x = 877,834.92 × 141,991
  4. Step 4: Simplify right side
    585,223x = 124,644,658,125.72
  5. Step 5: Solve for x
    x = 124,644,658,125.72/585,223
  6. Step 6: Final answer
    x = 212,986.60

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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.