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Finding the Fourth Proportional to 304,214.73, 456,000.32 and 114,593.06

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Solution

The fourth proportional to 304,214.73, 456,000.32 and 114,593.06 is: 171,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,214.73 : 456,000.32 = 114,593.06 : x
  2. Step 2: Convert to fraction form
    304,214.73/456,000.32 = 114,593.06/x
  3. Step 3: Cross multiply
    304,214.73x = 456,000.32 × 114,593.06
  4. Step 4: Simplify right side
    304,214.73x = 52,254,469,176.81
  5. Step 5: Solve for x
    x = 52,254,469,176.81/304,214.73
  6. Step 6: Final answer
    x = 171,768.37

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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.