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Finding the Fourth Proportional to 430,125.63, 645,266.40 and 177,265.50

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Solution

The fourth proportional to 430,125.63, 645,266.40 and 177,265.50 is: 265,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,125.63 : 645,266.40 = 177,265.50 : x
  2. Step 2: Convert to fraction form
    430,125.63/645,266.40 = 177,265.50/x
  3. Step 3: Cross multiply
    430,125.63x = 645,266.40 × 177,265.50
  4. Step 4: Simplify right side
    430,125.63x = 114,383,471,029.20
  5. Step 5: Solve for x
    x = 114,383,471,029.20/430,125.63
  6. Step 6: Final answer
    x = 265,930.38

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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.