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Finding the Fourth Proportional to 473,693.43, 704,447.88 and 458,742.87

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Solution

The fourth proportional to 473,693.43, 704,447.88 and 458,742.87 is: 682,214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,693.43 : 704,447.88 = 458,742.87 : x
  2. Step 2: Convert to fraction form
    473,693.43/704,447.88 = 458,742.87/x
  3. Step 3: Cross multiply
    473,693.43x = 704,447.88 × 458,742.87
  4. Step 4: Simplify right side
    473,693.43x = 323,160,442,236.62
  5. Step 5: Solve for x
    x = 323,160,442,236.62/473,693.43
  6. Step 6: Final answer
    x = 682,214.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.