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Finding the Fourth Proportional to 402,893.60, 603,684.30 and 296,605.40

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Solution

The fourth proportional to 402,893.60, 603,684.30 and 296,605.40 is: 444,425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,893.60 : 603,684.30 = 296,605.40 : x
  2. Step 2: Convert to fraction form
    402,893.60/603,684.30 = 296,605.40/x
  3. Step 3: Cross multiply
    402,893.60x = 603,684.30 × 296,605.40
  4. Step 4: Simplify right side
    402,893.60x = 179,056,023,275.22
  5. Step 5: Solve for x
    x = 179,056,023,275.22/402,893.60
  6. Step 6: Final answer
    x = 444,425.09

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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.