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Finding the Fourth Proportional to 314,158.50, 433,536.30 and 170,918.10

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Solution

The fourth proportional to 314,158.50, 433,536.30 and 170,918.10 is: 235,865.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,158.50 : 433,536.30 = 170,918.10 : x
  2. Step 2: Convert to fraction form
    314,158.50/433,536.30 = 170,918.10/x
  3. Step 3: Cross multiply
    314,158.50x = 433,536.30 × 170,918.10
  4. Step 4: Simplify right side
    314,158.50x = 74,099,200,677.03
  5. Step 5: Solve for x
    x = 74,099,200,677.03/314,158.50
  6. Step 6: Final answer
    x = 235,865.66

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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.