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Finding the Fourth Proportional to 476,442.51, 657,491.96 and 261,596.49

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Solution

The fourth proportional to 476,442.51, 657,491.96 and 261,596.49 is: 361,003.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,442.51 : 657,491.96 = 261,596.49 : x
  2. Step 2: Convert to fraction form
    476,442.51/657,491.96 = 261,596.49/x
  3. Step 3: Cross multiply
    476,442.51x = 657,491.96 × 261,596.49
  4. Step 4: Simplify right side
    476,442.51x = 171,997,592,058.81
  5. Step 5: Solve for x
    x = 171,997,592,058.81/476,442.51
  6. Step 6: Final answer
    x = 361,003.87

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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.