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Finding the Fourth Proportional to 459,728.84, 634,278.12 and 278,382.80

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Solution

The fourth proportional to 459,728.84, 634,278.12 and 278,382.80 is: 384,078.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,728.84 : 634,278.12 = 278,382.80 : x
  2. Step 2: Convert to fraction form
    459,728.84/634,278.12 = 278,382.80/x
  3. Step 3: Cross multiply
    459,728.84x = 634,278.12 × 278,382.80
  4. Step 4: Simplify right side
    459,728.84x = 176,572,119,024.34
  5. Step 5: Solve for x
    x = 176,572,119,024.34/459,728.84
  6. Step 6: Final answer
    x = 384,078.84

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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.