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Finding the Fourth Proportional to 331,378.32, 457,302 and 180,475.32

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Solution

The fourth proportional to 331,378.32, 457,302 and 180,475.32 is: 249,055.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,378.32 : 457,302 = 180,475.32 : x
  2. Step 2: Convert to fraction form
    331,378.32/457,302 = 180,475.32/x
  3. Step 3: Cross multiply
    331,378.32x = 457,302 × 180,475.32
  4. Step 4: Simplify right side
    331,378.32x = 82,531,724,786.64
  5. Step 5: Solve for x
    x = 82,531,724,786.64/331,378.32
  6. Step 6: Final answer
    x = 249,055.90

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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.