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Finding the Fourth Proportional to 610,520.09, 842,461.29 and 338,582.97

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Solution

The fourth proportional to 610,520.09, 842,461.29 and 338,582.97 is: 467,213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,520.09 : 842,461.29 = 338,582.97 : x
  2. Step 2: Convert to fraction form
    610,520.09/842,461.29 = 338,582.97/x
  3. Step 3: Cross multiply
    610,520.09x = 842,461.29 × 338,582.97
  4. Step 4: Simplify right side
    610,520.09x = 285,243,045,678.23
  5. Step 5: Solve for x
    x = 285,243,045,678.23/610,520.09
  6. Step 6: Final answer
    x = 467,213.21

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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.