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Finding the Fourth Proportional to 459,614.19, 634,194.32 and 278,295.15

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Solution

The fourth proportional to 459,614.19, 634,194.32 and 278,295.15 is: 384,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,614.19 : 634,194.32 = 278,295.15 : x
  2. Step 2: Convert to fraction form
    459,614.19/634,194.32 = 278,295.15/x
  3. Step 3: Cross multiply
    459,614.19x = 634,194.32 × 278,295.15
  4. Step 4: Simplify right side
    459,614.19x = 176,493,202,022.07
  5. Step 5: Solve for x
    x = 176,493,202,022.07/459,614.19
  6. Step 6: Final answer
    x = 384,002.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.