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Finding the Fourth Proportional to 952,900.50, 1,429,350.76 and 288,052.50

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Solution

The fourth proportional to 952,900.50, 1,429,350.76 and 288,052.50 is: 432,078.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,900.50 : 1,429,350.76 = 288,052.50 : x
  2. Step 2: Convert to fraction form
    952,900.50/1,429,350.76 = 288,052.50/x
  3. Step 3: Cross multiply
    952,900.50x = 1,429,350.76 × 288,052.50
  4. Step 4: Simplify right side
    952,900.50x = 411,728,059,794.90
  5. Step 5: Solve for x
    x = 411,728,059,794.90/952,900.50
  6. Step 6: Final answer
    x = 432,078.75

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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.