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Finding the Fourth Proportional to 296,778.34, 409,328.15 and 255,455.70

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Solution

The fourth proportional to 296,778.34, 409,328.15 and 255,455.70 is: 352,334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,778.34 : 409,328.15 = 255,455.70 : x
  2. Step 2: Convert to fraction form
    296,778.34/409,328.15 = 255,455.70/x
  3. Step 3: Cross multiply
    296,778.34x = 409,328.15 × 255,455.70
  4. Step 4: Simplify right side
    296,778.34x = 104,565,209,087.96
  5. Step 5: Solve for x
    x = 104,565,209,087.96/296,778.34
  6. Step 6: Final answer
    x = 352,334.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.