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Finding the Fourth Proportional to 407,684.26, 562,870.74 and 264,851.38

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Solution

The fourth proportional to 407,684.26, 562,870.74 and 264,851.38 is: 365,668.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,684.26 : 562,870.74 = 264,851.38 : x
  2. Step 2: Convert to fraction form
    407,684.26/562,870.74 = 264,851.38/x
  3. Step 3: Cross multiply
    407,684.26x = 562,870.74 × 264,851.38
  4. Step 4: Simplify right side
    407,684.26x = 149,077,092,250.62
  5. Step 5: Solve for x
    x = 149,077,092,250.62/407,684.26
  6. Step 6: Final answer
    x = 365,668.01

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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.