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Finding the Fourth Proportional to 613,148.82, 846,128.07 and 341,212.38

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Solution

The fourth proportional to 613,148.82, 846,128.07 and 341,212.38 is: 470,863.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,148.82 : 846,128.07 = 341,212.38 : x
  2. Step 2: Convert to fraction form
    613,148.82/846,128.07 = 341,212.38/x
  3. Step 3: Cross multiply
    613,148.82x = 846,128.07 × 341,212.38
  4. Step 4: Simplify right side
    613,148.82x = 288,709,372,549.51
  5. Step 5: Solve for x
    x = 288,709,372,549.51/613,148.82
  6. Step 6: Final answer
    x = 470,863.46

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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.