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Finding the Fourth Proportional to 569,163.36, 785,445.71 and 314,514.54

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Solution

The fourth proportional to 569,163.36, 785,445.71 and 314,514.54 is: 434,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,163.36 : 785,445.71 = 314,514.54 : x
  2. Step 2: Convert to fraction form
    569,163.36/785,445.71 = 314,514.54/x
  3. Step 3: Cross multiply
    569,163.36x = 785,445.71 × 314,514.54
  4. Step 4: Simplify right side
    569,163.36x = 247,034,096,175.62
  5. Step 5: Solve for x
    x = 247,034,096,175.62/569,163.36
  6. Step 6: Final answer
    x = 434,030.22

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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.