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Finding the Fourth Proportional to 613,004.14, 845,871.42 and 341,007.76

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Solution

The fourth proportional to 613,004.14, 845,871.42 and 341,007.76 is: 470,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,004.14 : 845,871.42 = 341,007.76 : x
  2. Step 2: Convert to fraction form
    613,004.14/845,871.42 = 341,007.76/x
  3. Step 3: Cross multiply
    613,004.14x = 845,871.42 × 341,007.76
  4. Step 4: Simplify right side
    613,004.14x = 288,448,718,182.22
  5. Step 5: Solve for x
    x = 288,448,718,182.22/613,004.14
  6. Step 6: Final answer
    x = 470,549.38

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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.