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Finding the Fourth Proportional to 414,000.30, 621,000.45 and 288,029.10

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Solution

The fourth proportional to 414,000.30, 621,000.45 and 288,029.10 is: 432,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,000.30 : 621,000.45 = 288,029.10 : x
  2. Step 2: Convert to fraction form
    414,000.30/621,000.45 = 288,029.10/x
  3. Step 3: Cross multiply
    414,000.30x = 621,000.45 × 288,029.10
  4. Step 4: Simplify right side
    414,000.30x = 178,866,200,713.10
  5. Step 5: Solve for x
    x = 178,866,200,713.10/414,000.30
  6. Step 6: Final answer
    x = 432,043.65

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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.