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Finding the Fourth Proportional to 407,941.71, 611,619.46 and 191,678.49

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Solution

The fourth proportional to 407,941.71, 611,619.46 and 191,678.49 is: 287,380.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,941.71 : 611,619.46 = 191,678.49 : x
  2. Step 2: Convert to fraction form
    407,941.71/611,619.46 = 191,678.49/x
  3. Step 3: Cross multiply
    407,941.71x = 611,619.46 × 191,678.49
  4. Step 4: Simplify right side
    407,941.71x = 117,234,294,068.22
  5. Step 5: Solve for x
    x = 117,234,294,068.22/407,941.71
  6. Step 6: Final answer
    x = 287,380.01

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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.