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Finding the Fourth Proportional to 382,123.43, 527,353.96 and 318,350.51

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Solution

The fourth proportional to 382,123.43, 527,353.96 and 318,350.51 is: 439,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,123.43 : 527,353.96 = 318,350.51 : x
  2. Step 2: Convert to fraction form
    382,123.43/527,353.96 = 318,350.51/x
  3. Step 3: Cross multiply
    382,123.43x = 527,353.96 × 318,350.51
  4. Step 4: Simplify right side
    382,123.43x = 167,883,402,741.54
  5. Step 5: Solve for x
    x = 167,883,402,741.54/382,123.43
  6. Step 6: Final answer
    x = 439,343.39

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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.