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Finding the Fourth Proportional to 299,583.21, 413,427.65 and 170,515.38

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Solution

The fourth proportional to 299,583.21, 413,427.65 and 170,515.38 is: 235,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,583.21 : 413,427.65 = 170,515.38 : x
  2. Step 2: Convert to fraction form
    299,583.21/413,427.65 = 170,515.38/x
  3. Step 3: Cross multiply
    299,583.21x = 413,427.65 × 170,515.38
  4. Step 4: Simplify right side
    299,583.21x = 70,495,771,989.68
  5. Step 5: Solve for x
    x = 70,495,771,989.68/299,583.21
  6. Step 6: Final answer
    x = 235,312.83

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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.