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Finding the Fourth Proportional to 413,039.15, 619,445.88 and 113,448.50

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Solution

The fourth proportional to 413,039.15, 619,445.88 and 113,448.50 is: 170,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,039.15 : 619,445.88 = 113,448.50 : x
  2. Step 2: Convert to fraction form
    413,039.15/619,445.88 = 113,448.50/x
  3. Step 3: Cross multiply
    413,039.15x = 619,445.88 × 113,448.50
  4. Step 4: Simplify right side
    413,039.15x = 70,275,205,142.87
  5. Step 5: Solve for x
    x = 70,275,205,142.87/413,039.15
  6. Step 6: Final answer
    x = 170,141.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.