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Finding the Fourth Proportional to 585,516.57, 877,597.16 and 269,309.85

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Solution

The fourth proportional to 585,516.57, 877,597.16 and 269,309.85 is: 403,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,516.57 : 877,597.16 = 269,309.85 : x
  2. Step 2: Convert to fraction form
    585,516.57/877,597.16 = 269,309.85/x
  3. Step 3: Cross multiply
    585,516.57x = 877,597.16 × 269,309.85
  4. Step 4: Simplify right side
    585,516.57x = 236,345,558,173.48
  5. Step 5: Solve for x
    x = 236,345,558,173.48/585,516.57
  6. Step 6: Final answer
    x = 403,653.07

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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.