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Finding the Fourth Proportional to 323,097.60, 484,934.40 and 189,811.20

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Solution

The fourth proportional to 323,097.60, 484,934.40 and 189,811.20 is: 284,885.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,097.60 : 484,934.40 = 189,811.20 : x
  2. Step 2: Convert to fraction form
    323,097.60/484,934.40 = 189,811.20/x
  3. Step 3: Cross multiply
    323,097.60x = 484,934.40 × 189,811.20
  4. Step 4: Simplify right side
    323,097.60x = 92,045,980,385.28
  5. Step 5: Solve for x
    x = 92,045,980,385.28/323,097.60
  6. Step 6: Final answer
    x = 284,885.99

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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.