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Finding the Fourth Proportional to 286,886.41, 430,381.76 and 118,313.06

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Solution

The fourth proportional to 286,886.41, 430,381.76 and 118,313.06 is: 177,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,886.41 : 430,381.76 = 118,313.06 : x
  2. Step 2: Convert to fraction form
    286,886.41/430,381.76 = 118,313.06/x
  3. Step 3: Cross multiply
    286,886.41x = 430,381.76 × 118,313.06
  4. Step 4: Simplify right side
    286,886.41x = 50,919,780,250.31
  5. Step 5: Solve for x
    x = 50,919,780,250.31/286,886.41
  6. Step 6: Final answer
    x = 177,491.09

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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.