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Finding the Fourth Proportional to 408,058.10, 612,288.30 and 183,577.40

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Solution

The fourth proportional to 408,058.10, 612,288.30 and 183,577.40 is: 275,456.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,058.10 : 612,288.30 = 183,577.40 : x
  2. Step 2: Convert to fraction form
    408,058.10/612,288.30 = 183,577.40/x
  3. Step 3: Cross multiply
    408,058.10x = 612,288.30 × 183,577.40
  4. Step 4: Simplify right side
    408,058.10x = 112,402,294,164.42
  5. Step 5: Solve for x
    x = 112,402,294,164.42/408,058.10
  6. Step 6: Final answer
    x = 275,456.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.