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Finding the Fourth Proportional to 291,782.13, 402,651.32 and 162,724.52

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Solution

The fourth proportional to 291,782.13, 402,651.32 and 162,724.52 is: 224,555.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,782.13 : 402,651.32 = 162,724.52 : x
  2. Step 2: Convert to fraction form
    291,782.13/402,651.32 = 162,724.52/x
  3. Step 3: Cross multiply
    291,782.13x = 402,651.32 × 162,724.52
  4. Step 4: Simplify right side
    291,782.13x = 65,521,242,967.37
  5. Step 5: Solve for x
    x = 65,521,242,967.37/291,782.13
  6. Step 6: Final answer
    x = 224,555.37

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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.