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Finding the Fourth Proportional to 314,178.69, 433,553.64 and 170,939.31

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Solution

The fourth proportional to 314,178.69, 433,553.64 and 170,939.31 is: 235,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,178.69 : 433,553.64 = 170,939.31 : x
  2. Step 2: Convert to fraction form
    314,178.69/433,553.64 = 170,939.31/x
  3. Step 3: Cross multiply
    314,178.69x = 433,553.64 × 170,939.31
  4. Step 4: Simplify right side
    314,178.69x = 74,111,360,069.59
  5. Step 5: Solve for x
    x = 74,111,360,069.59/314,178.69
  6. Step 6: Final answer
    x = 235,889.20

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1.5x scale

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.