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Finding the Fourth Proportional to 257,555.10, 385,869.29 and 242,361.83

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Solution

The fourth proportional to 257,555.10, 385,869.29 and 242,361.83 is: 363,106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,555.10 : 385,869.29 = 242,361.83 : x
  2. Step 2: Convert to fraction form
    257,555.10/385,869.29 = 242,361.83/x
  3. Step 3: Cross multiply
    257,555.10x = 385,869.29 × 242,361.83
  4. Step 4: Simplify right side
    257,555.10x = 93,519,987,018.06
  5. Step 5: Solve for x
    x = 93,519,987,018.06/257,555.10
  6. Step 6: Final answer
    x = 363,106.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.