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Finding the Fourth Proportional to 330,037.60, 494,977.12 and 152,374

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Solution

The fourth proportional to 330,037.60, 494,977.12 and 152,374 is: 228,524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,037.60 : 494,977.12 = 152,374 : x
  2. Step 2: Convert to fraction form
    330,037.60/494,977.12 = 152,374/x
  3. Step 3: Cross multiply
    330,037.60x = 494,977.12 × 152,374
  4. Step 4: Simplify right side
    330,037.60x = 75,421,643,682.88
  5. Step 5: Solve for x
    x = 75,421,643,682.88/330,037.60
  6. Step 6: Final answer
    x = 228,524.40

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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.