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Finding the Fourth Proportional to 291,438.54, 402,205.68 and 162,385.38

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Solution

The fourth proportional to 291,438.54, 402,205.68 and 162,385.38 is: 224,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,438.54 : 402,205.68 = 162,385.38 : x
  2. Step 2: Convert to fraction form
    291,438.54/402,205.68 = 162,385.38/x
  3. Step 3: Cross multiply
    291,438.54x = 402,205.68 × 162,385.38
  4. Step 4: Simplify right side
    291,438.54x = 65,312,322,184.96
  5. Step 5: Solve for x
    x = 65,312,322,184.96/291,438.54
  6. Step 6: Final answer
    x = 224,103.24

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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.