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Finding the Fourth Proportional to 585,536.16, 877,626.36 and 269,329.44

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Solution

The fourth proportional to 585,536.16, 877,626.36 and 269,329.44 is: 403,682.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,536.16 : 877,626.36 = 269,329.44 : x
  2. Step 2: Convert to fraction form
    585,536.16/877,626.36 = 269,329.44/x
  3. Step 3: Cross multiply
    585,536.16x = 877,626.36 × 269,329.44
  4. Step 4: Simplify right side
    585,536.16x = 236,370,616,068.04
  5. Step 5: Solve for x
    x = 236,370,616,068.04/585,536.16
  6. Step 6: Final answer
    x = 403,682.36

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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.