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Finding the Fourth Proportional to 430,234.80, 645,265.80 and 205,594.80

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Solution

The fourth proportional to 430,234.80, 645,265.80 and 205,594.80 is: 308,350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,234.80 : 645,265.80 = 205,594.80 : x
  2. Step 2: Convert to fraction form
    430,234.80/645,265.80 = 205,594.80/x
  3. Step 3: Cross multiply
    430,234.80x = 645,265.80 × 205,594.80
  4. Step 4: Simplify right side
    430,234.80x = 132,663,293,097.84
  5. Step 5: Solve for x
    x = 132,663,293,097.84/430,234.80
  6. Step 6: Final answer
    x = 308,350.91

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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.