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Finding the Fourth Proportional to 409,390.15, 614,000.64 and 109,799.50

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Solution

The fourth proportional to 409,390.15, 614,000.64 and 109,799.50 is: 164,676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,390.15 : 614,000.64 = 109,799.50 : x
  2. Step 2: Convert to fraction form
    409,390.15/614,000.64 = 109,799.50/x
  3. Step 3: Cross multiply
    409,390.15x = 614,000.64 × 109,799.50
  4. Step 4: Simplify right side
    409,390.15x = 67,416,963,271.68
  5. Step 5: Solve for x
    x = 67,416,963,271.68/409,390.15
  6. Step 6: Final answer
    x = 164,676.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.