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Finding the Fourth Proportional to 264,567.60, 396,462.60 and 106,520.40

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Solution

The fourth proportional to 264,567.60, 396,462.60 and 106,520.40 is: 159,624.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,567.60 : 396,462.60 = 106,520.40 : x
  2. Step 2: Convert to fraction form
    264,567.60/396,462.60 = 106,520.40/x
  3. Step 3: Cross multiply
    264,567.60x = 396,462.60 × 106,520.40
  4. Step 4: Simplify right side
    264,567.60x = 42,231,354,737.04
  5. Step 5: Solve for x
    x = 42,231,354,737.04/264,567.60
  6. Step 6: Final answer
    x = 159,624.06

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Why These Related Problems?

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