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Finding the Fourth Proportional to 412,401.60, 617,565.60 and 329,457.60

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Solution

The fourth proportional to 412,401.60, 617,565.60 and 329,457.60 is: 493,358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,401.60 : 617,565.60 = 329,457.60 : x
  2. Step 2: Convert to fraction form
    412,401.60/617,565.60 = 329,457.60/x
  3. Step 3: Cross multiply
    412,401.60x = 617,565.60 × 329,457.60
  4. Step 4: Simplify right side
    412,401.60x = 203,461,680,418.56
  5. Step 5: Solve for x
    x = 203,461,680,418.56/412,401.60
  6. Step 6: Final answer
    x = 493,358.13

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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.