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Finding the Fourth Proportional to 462,457, 693,825.54 and 327,781.72

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Solution

The fourth proportional to 462,457, 693,825.54 and 327,781.72 is: 491,771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,457 : 693,825.54 = 327,781.72 : x
  2. Step 2: Convert to fraction form
    462,457/693,825.54 = 327,781.72/x
  3. Step 3: Cross multiply
    462,457x = 693,825.54 × 327,781.72
  4. Step 4: Simplify right side
    462,457x = 227,423,328,881.13
  5. Step 5: Solve for x
    x = 227,423,328,881.13/462,457
  6. Step 6: Final answer
    x = 491,771.84

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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.