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Finding the Fourth Proportional to 585,290.82, 877,258.53 and 269,084.10

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Solution

The fourth proportional to 585,290.82, 877,258.53 and 269,084.10 is: 403,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,290.82 : 877,258.53 = 269,084.10 : x
  2. Step 2: Convert to fraction form
    585,290.82/877,258.53 = 269,084.10/x
  3. Step 3: Cross multiply
    585,290.82x = 877,258.53 × 269,084.10
  4. Step 4: Simplify right side
    585,290.82x = 236,056,322,012.37
  5. Step 5: Solve for x
    x = 236,056,322,012.37/585,290.82
  6. Step 6: Final answer
    x = 403,314.58

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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.