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Finding the Fourth Proportional to 291,577.30, 402,378.54 and 162,523.96

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Solution

The fourth proportional to 291,577.30, 402,378.54 and 162,523.96 is: 224,284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,577.30 : 402,378.54 = 162,523.96 : x
  2. Step 2: Convert to fraction form
    291,577.30/402,378.54 = 162,523.96/x
  3. Step 3: Cross multiply
    291,577.30x = 402,378.54 × 162,523.96
  4. Step 4: Simplify right side
    291,577.30x = 65,396,153,739.82
  5. Step 5: Solve for x
    x = 65,396,153,739.82/291,577.30
  6. Step 6: Final answer
    x = 224,284.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.