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Finding the Fourth Proportional to 456,307.28, 684,408.62 and 119,380.45

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Solution

The fourth proportional to 456,307.28, 684,408.62 and 119,380.45 is: 179,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,307.28 : 684,408.62 = 119,380.45 : x
  2. Step 2: Convert to fraction form
    456,307.28/684,408.62 = 119,380.45/x
  3. Step 3: Cross multiply
    456,307.28x = 684,408.62 × 119,380.45
  4. Step 4: Simplify right side
    456,307.28x = 81,705,005,020.53
  5. Step 5: Solve for x
    x = 81,705,005,020.53/456,307.28
  6. Step 6: Final answer
    x = 179,056.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.