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Finding the Fourth Proportional to 315,709.72, 435,673.94 and 172,466.04

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Solution

The fourth proportional to 315,709.72, 435,673.94 and 172,466.04 is: 238,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,709.72 : 435,673.94 = 172,466.04 : x
  2. Step 2: Convert to fraction form
    315,709.72/435,673.94 = 172,466.04/x
  3. Step 3: Cross multiply
    315,709.72x = 435,673.94 × 172,466.04
  4. Step 4: Simplify right side
    315,709.72x = 75,138,959,163.00
  5. Step 5: Solve for x
    x = 75,138,959,163.00/315,709.72
  6. Step 6: Final answer
    x = 238,000.15

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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.