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Finding the Fourth Proportional to 431,564.58, 595,629.29 and 259,656.30

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Solution

The fourth proportional to 431,564.58, 595,629.29 and 259,656.30 is: 358,367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,564.58 : 595,629.29 = 259,656.30 : x
  2. Step 2: Convert to fraction form
    431,564.58/595,629.29 = 259,656.30/x
  3. Step 3: Cross multiply
    431,564.58x = 595,629.29 × 259,656.30
  4. Step 4: Simplify right side
    431,564.58x = 154,658,897,613.03
  5. Step 5: Solve for x
    x = 154,658,897,613.03/431,564.58
  6. Step 6: Final answer
    x = 358,367.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.