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Finding the Fourth Proportional to 647,743.05, 894,301.43 and 406,356.57

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Solution

The fourth proportional to 647,743.05, 894,301.43 and 406,356.57 is: 561,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,743.05 : 894,301.43 = 406,356.57 : x
  2. Step 2: Convert to fraction form
    647,743.05/894,301.43 = 406,356.57/x
  3. Step 3: Cross multiply
    647,743.05x = 894,301.43 × 406,356.57
  4. Step 4: Simplify right side
    647,743.05x = 363,405,259,609.11
  5. Step 5: Solve for x
    x = 363,405,259,609.11/647,743.05
  6. Step 6: Final answer
    x = 561,033.05

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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.