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Finding the Fourth Proportional to 429,179.84, 591,998.72 and 276,416

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Solution

The fourth proportional to 429,179.84, 591,998.72 and 276,416 is: 381,280.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,179.84 : 591,998.72 = 276,416 : x
  2. Step 2: Convert to fraction form
    429,179.84/591,998.72 = 276,416/x
  3. Step 3: Cross multiply
    429,179.84x = 591,998.72 × 276,416
  4. Step 4: Simplify right side
    429,179.84x = 163,637,918,187.52
  5. Step 5: Solve for x
    x = 163,637,918,187.52/429,179.84
  6. Step 6: Final answer
    x = 381,280.53

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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.