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Finding the Fourth Proportional to 304,385.82, 456,190.54 and 144,461.46

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Solution

The fourth proportional to 304,385.82, 456,190.54 and 144,461.46 is: 216,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,385.82 : 456,190.54 = 144,461.46 : x
  2. Step 2: Convert to fraction form
    304,385.82/456,190.54 = 144,461.46/x
  3. Step 3: Cross multiply
    304,385.82x = 456,190.54 × 144,461.46
  4. Step 4: Simplify right side
    304,385.82x = 65,901,951,446.59
  5. Step 5: Solve for x
    x = 65,901,951,446.59/304,385.82
  6. Step 6: Final answer
    x = 216,507.96

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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.