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Finding the Fourth Proportional to 610,542.15, 842,599.94 and 338,697.65

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Solution

The fourth proportional to 610,542.15, 842,599.94 and 338,697.65 is: 467,431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,542.15 : 842,599.94 = 338,697.65 : x
  2. Step 2: Convert to fraction form
    610,542.15/842,599.94 = 338,697.65/x
  3. Step 3: Cross multiply
    610,542.15x = 842,599.94 × 338,697.65
  4. Step 4: Simplify right side
    610,542.15x = 285,386,613,661.65
  5. Step 5: Solve for x
    x = 285,386,613,661.65/610,542.15
  6. Step 6: Final answer
    x = 467,431.47

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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.