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Finding the Fourth Proportional to 305,250.40, 457,875.60 and 271,424.80

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Solution

The fourth proportional to 305,250.40, 457,875.60 and 271,424.80 is: 407,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,250.40 : 457,875.60 = 271,424.80 : x
  2. Step 2: Convert to fraction form
    305,250.40/457,875.60 = 271,424.80/x
  3. Step 3: Cross multiply
    305,250.40x = 457,875.60 × 271,424.80
  4. Step 4: Simplify right side
    305,250.40x = 124,278,793,154.88
  5. Step 5: Solve for x
    x = 124,278,793,154.88/305,250.40
  6. Step 6: Final answer
    x = 407,137.20

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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.