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Finding the Fourth Proportional to 316,038.43, 473,958.82 and 105,627.16

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Solution

The fourth proportional to 316,038.43, 473,958.82 and 105,627.16 is: 158,407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,038.43 : 473,958.82 = 105,627.16 : x
  2. Step 2: Convert to fraction form
    316,038.43/473,958.82 = 105,627.16/x
  3. Step 3: Cross multiply
    316,038.43x = 473,958.82 × 105,627.16
  4. Step 4: Simplify right side
    316,038.43x = 50,062,924,113.55
  5. Step 5: Solve for x
    x = 50,062,924,113.55/316,038.43
  6. Step 6: Final answer
    x = 158,407.71

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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.