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Finding the Fourth Proportional to 383,462.64, 574,992.50 and 170,138.16

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Solution

The fourth proportional to 383,462.64, 574,992.50 and 170,138.16 is: 255,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,462.64 : 574,992.50 = 170,138.16 : x
  2. Step 2: Convert to fraction form
    383,462.64/574,992.50 = 170,138.16/x
  3. Step 3: Cross multiply
    383,462.64x = 574,992.50 × 170,138.16
  4. Step 4: Simplify right side
    383,462.64x = 97,828,165,113.11
  5. Step 5: Solve for x
    x = 97,828,165,113.11/383,462.64
  6. Step 6: Final answer
    x = 255,117.85

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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.