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Finding the Fourth Proportional to 430,412.80, 645,532.80 and 205,772.80

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Solution

The fourth proportional to 430,412.80, 645,532.80 and 205,772.80 is: 308,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,412.80 : 645,532.80 = 205,772.80 : x
  2. Step 2: Convert to fraction form
    430,412.80/645,532.80 = 205,772.80/x
  3. Step 3: Cross multiply
    430,412.80x = 645,532.80 × 205,772.80
  4. Step 4: Simplify right side
    430,412.80x = 132,833,091,747.84
  5. Step 5: Solve for x
    x = 132,833,091,747.84/430,412.80
  6. Step 6: Final answer
    x = 308,617.89

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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.