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Finding the Fourth Proportional to 315,665, 435,615.12 and 172,425.08

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Solution

The fourth proportional to 315,665, 435,615.12 and 172,425.08 is: 237,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,665 : 435,615.12 = 172,425.08 : x
  2. Step 2: Convert to fraction form
    315,665/435,615.12 = 172,425.08/x
  3. Step 3: Cross multiply
    315,665x = 435,615.12 × 172,425.08
  4. Step 4: Simplify right side
    315,665x = 75,110,971,915.21
  5. Step 5: Solve for x
    x = 75,110,971,915.21/315,665
  6. Step 6: Final answer
    x = 237,945.20

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