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Finding the Fourth Proportional to 304,495.80, 456,743.70 and 288,166.20

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Solution

The fourth proportional to 304,495.80, 456,743.70 and 288,166.20 is: 432,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,495.80 : 456,743.70 = 288,166.20 : x
  2. Step 2: Convert to fraction form
    304,495.80/456,743.70 = 288,166.20/x
  3. Step 3: Cross multiply
    304,495.80x = 456,743.70 × 288,166.20
  4. Step 4: Simplify right side
    304,495.80x = 131,618,096,402.94
  5. Step 5: Solve for x
    x = 131,618,096,402.94/304,495.80
  6. Step 6: Final answer
    x = 432,249.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.