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Finding the Fourth Proportional to 471,824.80, 707,276.40 and 422,058.40

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Solution

The fourth proportional to 471,824.80, 707,276.40 and 422,058.40 is: 632,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,824.80 : 707,276.40 = 422,058.40 : x
  2. Step 2: Convert to fraction form
    471,824.80/707,276.40 = 422,058.40/x
  3. Step 3: Cross multiply
    471,824.80x = 707,276.40 × 422,058.40
  4. Step 4: Simplify right side
    471,824.80x = 298,511,945,741.76
  5. Step 5: Solve for x
    x = 298,511,945,741.76/471,824.80
  6. Step 6: Final answer
    x = 632,675.40

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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.