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Finding the Fourth Proportional to 447,582.34, 617,676.57 and 243,646.48

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Solution

The fourth proportional to 447,582.34, 617,676.57 and 243,646.48 is: 336,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,582.34 : 617,676.57 = 243,646.48 : x
  2. Step 2: Convert to fraction form
    447,582.34/617,676.57 = 243,646.48/x
  3. Step 3: Cross multiply
    447,582.34x = 617,676.57 × 243,646.48
  4. Step 4: Simplify right side
    447,582.34x = 150,494,722,058.97
  5. Step 5: Solve for x
    x = 150,494,722,058.97/447,582.34
  6. Step 6: Final answer
    x = 336,239.19

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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.