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Finding the Fourth Proportional to 409,829.70, 614,744.55 and 409,829.70

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Solution

The fourth proportional to 409,829.70, 614,744.55 and 409,829.70 is: 614,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,829.70 : 614,744.55 = 409,829.70 : x
  2. Step 2: Convert to fraction form
    409,829.70/614,744.55 = 409,829.70/x
  3. Step 3: Cross multiply
    409,829.70x = 614,744.55 × 409,829.70
  4. Step 4: Simplify right side
    409,829.70x = 251,940,574,503.14
  5. Step 5: Solve for x
    x = 251,940,574,503.14/409,829.70
  6. Step 6: Final answer
    x = 614,744.55

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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.