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Finding the Fourth Proportional to 314,401.40, 471,305.64 and 156,480.56

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Solution

The fourth proportional to 314,401.40, 471,305.64 and 156,480.56 is: 234,573.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,401.40 : 471,305.64 = 156,480.56 : x
  2. Step 2: Convert to fraction form
    314,401.40/471,305.64 = 156,480.56/x
  3. Step 3: Cross multiply
    314,401.40x = 471,305.64 × 156,480.56
  4. Step 4: Simplify right side
    314,401.40x = 73,750,170,478.36
  5. Step 5: Solve for x
    x = 73,750,170,478.36/314,401.40
  6. Step 6: Final answer
    x = 234,573.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.