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Finding the Fourth Proportional to 616,243.74, 850,460.38 and 340,595.68

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Solution

The fourth proportional to 616,243.74, 850,460.38 and 340,595.68 is: 470,046.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,243.74 : 850,460.38 = 340,595.68 : x
  2. Step 2: Convert to fraction form
    616,243.74/850,460.38 = 340,595.68/x
  3. Step 3: Cross multiply
    616,243.74x = 850,460.38 × 340,595.68
  4. Step 4: Simplify right side
    616,243.74x = 289,663,131,439.16
  5. Step 5: Solve for x
    x = 289,663,131,439.16/616,243.74
  6. Step 6: Final answer
    x = 470,046.37

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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.