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Finding the Fourth Proportional to 291,544.89, 402,315.68 and 160,718.32

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Solution

The fourth proportional to 291,544.89, 402,315.68 and 160,718.32 is: 221,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,544.89 : 402,315.68 = 160,718.32 : x
  2. Step 2: Convert to fraction form
    291,544.89/402,315.68 = 160,718.32/x
  3. Step 3: Cross multiply
    291,544.89x = 402,315.68 × 160,718.32
  4. Step 4: Simplify right side
    291,544.89x = 64,659,500,651.93
  5. Step 5: Solve for x
    x = 64,659,500,651.93/291,544.89
  6. Step 6: Final answer
    x = 221,782.32

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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.