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Finding the Fourth Proportional to 430,289.30, 645,429.82 and 261,857.50

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Solution

The fourth proportional to 430,289.30, 645,429.82 and 261,857.50 is: 392,783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,289.30 : 645,429.82 = 261,857.50 : x
  2. Step 2: Convert to fraction form
    430,289.30/645,429.82 = 261,857.50/x
  3. Step 3: Cross multiply
    430,289.30x = 645,429.82 × 261,857.50
  4. Step 4: Simplify right side
    430,289.30x = 169,010,639,090.65
  5. Step 5: Solve for x
    x = 169,010,639,090.65/430,289.30
  6. Step 6: Final answer
    x = 392,783.74

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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.