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Finding the Fourth Proportional to 314,184.43, 433,583.65 and 170,953.68

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Solution

The fourth proportional to 314,184.43, 433,583.65 and 170,953.68 is: 235,921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,184.43 : 433,583.65 = 170,953.68 : x
  2. Step 2: Convert to fraction form
    314,184.43/433,583.65 = 170,953.68/x
  3. Step 3: Cross multiply
    314,184.43x = 433,583.65 × 170,953.68
  4. Step 4: Simplify right side
    314,184.43x = 74,122,720,555.33
  5. Step 5: Solve for x
    x = 74,122,720,555.33/314,184.43
  6. Step 6: Final answer
    x = 235,921.05

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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.