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Finding the Fourth Proportional to 446,492.96, 669,855.36 and 147,020

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Solution

The fourth proportional to 446,492.96, 669,855.36 and 147,020 is: 220,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,492.96 : 669,855.36 = 147,020 : x
  2. Step 2: Convert to fraction form
    446,492.96/669,855.36 = 147,020/x
  3. Step 3: Cross multiply
    446,492.96x = 669,855.36 × 147,020
  4. Step 4: Simplify right side
    446,492.96x = 98,482,135,027.20
  5. Step 5: Solve for x
    x = 98,482,135,027.20/446,492.96
  6. Step 6: Final answer
    x = 220,568.17

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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.