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Finding the Fourth Proportional to 409,416.84, 614,125.26 and 159,923.88

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Solution

The fourth proportional to 409,416.84, 614,125.26 and 159,923.88 is: 239,885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,416.84 : 614,125.26 = 159,923.88 : x
  2. Step 2: Convert to fraction form
    409,416.84/614,125.26 = 159,923.88/x
  3. Step 3: Cross multiply
    409,416.84x = 614,125.26 × 159,923.88
  4. Step 4: Simplify right side
    409,416.84x = 98,213,294,385.21
  5. Step 5: Solve for x
    x = 98,213,294,385.21/409,416.84
  6. Step 6: Final answer
    x = 239,885.82

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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.