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Finding the Fourth Proportional to 474,827.22, 712,297.08 and 297,348.90

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Solution

The fourth proportional to 474,827.22, 712,297.08 and 297,348.90 is: 446,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,827.22 : 712,297.08 = 297,348.90 : x
  2. Step 2: Convert to fraction form
    474,827.22/712,297.08 = 297,348.90/x
  3. Step 3: Cross multiply
    474,827.22x = 712,297.08 × 297,348.90
  4. Step 4: Simplify right side
    474,827.22x = 211,800,753,211.21
  5. Step 5: Solve for x
    x = 211,800,753,211.21/474,827.22
  6. Step 6: Final answer
    x = 446,058.58

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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.