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Finding the Fourth Proportional to 304,816.40, 457,224.60 and 178,845.20

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Solution

The fourth proportional to 304,816.40, 457,224.60 and 178,845.20 is: 268,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,816.40 : 457,224.60 = 178,845.20 : x
  2. Step 2: Convert to fraction form
    304,816.40/457,224.60 = 178,845.20/x
  3. Step 3: Cross multiply
    304,816.40x = 457,224.60 × 178,845.20
  4. Step 4: Simplify right side
    304,816.40x = 81,772,425,031.92
  5. Step 5: Solve for x
    x = 81,772,425,031.92/304,816.40
  6. Step 6: Final answer
    x = 268,267.80

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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.