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Finding the Fourth Proportional to 314,033.52, 433,353.78 and 170,793.48

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Solution

The fourth proportional to 314,033.52, 433,353.78 and 170,793.48 is: 235,688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,033.52 : 433,353.78 = 170,793.48 : x
  2. Step 2: Convert to fraction form
    314,033.52/433,353.78 = 170,793.48/x
  3. Step 3: Cross multiply
    314,033.52x = 433,353.78 × 170,793.48
  4. Step 4: Simplify right side
    314,033.52x = 74,014,000,157.35
  5. Step 5: Solve for x
    x = 74,014,000,157.35/314,033.52
  6. Step 6: Final answer
    x = 235,688.22

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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.