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Finding the Fourth Proportional to 304,826.40, 457,239.60 and 178,855.20

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Solution

The fourth proportional to 304,826.40, 457,239.60 and 178,855.20 is: 268,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,826.40 : 457,239.60 = 178,855.20 : x
  2. Step 2: Convert to fraction form
    304,826.40/457,239.60 = 178,855.20/x
  3. Step 3: Cross multiply
    304,826.40x = 457,239.60 × 178,855.20
  4. Step 4: Simplify right side
    304,826.40x = 81,779,680,105.92
  5. Step 5: Solve for x
    x = 81,779,680,105.92/304,826.40
  6. Step 6: Final answer
    x = 268,282.80

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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.