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Finding the Fourth Proportional to 613,053.14, 846,013.33 and 341,138.54

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Solution

The fourth proportional to 613,053.14, 846,013.33 and 341,138.54 is: 470,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,053.14 : 846,013.33 = 341,138.54 : x
  2. Step 2: Convert to fraction form
    613,053.14/846,013.33 = 341,138.54/x
  3. Step 3: Cross multiply
    613,053.14x = 846,013.33 × 341,138.54
  4. Step 4: Simplify right side
    613,053.14x = 288,607,748,080.47
  5. Step 5: Solve for x
    x = 288,607,748,080.47/613,053.14
  6. Step 6: Final answer
    x = 470,771.18

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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.