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Finding the Fourth Proportional to 416,400.40, 624,507.04 and 191,544.88

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Solution

The fourth proportional to 416,400.40, 624,507.04 and 191,544.88 is: 287,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,400.40 : 624,507.04 = 191,544.88 : x
  2. Step 2: Convert to fraction form
    416,400.40/624,507.04 = 191,544.88/x
  3. Step 3: Cross multiply
    416,400.40x = 624,507.04 × 191,544.88
  4. Step 4: Simplify right side
    416,400.40x = 119,621,126,035.96
  5. Step 5: Solve for x
    x = 119,621,126,035.96/416,400.40
  6. Step 6: Final answer
    x = 287,274.28

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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.