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Finding the Fourth Proportional to 610,745.10, 842,827.50 and 338,854.20

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Solution

The fourth proportional to 610,745.10, 842,827.50 and 338,854.20 is: 467,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,745.10 : 842,827.50 = 338,854.20 : x
  2. Step 2: Convert to fraction form
    610,745.10/842,827.50 = 338,854.20/x
  3. Step 3: Cross multiply
    610,745.10x = 842,827.50 × 338,854.20
  4. Step 4: Simplify right side
    610,745.10x = 285,595,638,250.50
  5. Step 5: Solve for x
    x = 285,595,638,250.50/610,745.10
  6. Step 6: Final answer
    x = 467,618.39

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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.