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Finding the Fourth Proportional to 435,002.80, 652,293.24 and 255,147.00

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Solution

The fourth proportional to 435,002.80, 652,293.24 and 255,147.00 is: 382,596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,002.80 : 652,293.24 = 255,147.00 : x
  2. Step 2: Convert to fraction form
    435,002.80/652,293.24 = 255,147.00/x
  3. Step 3: Cross multiply
    435,002.80x = 652,293.24 × 255,147.00
  4. Step 4: Simplify right side
    435,002.80x = 166,430,658,769.08
  5. Step 5: Solve for x
    x = 166,430,658,769.08/435,002.80
  6. Step 6: Final answer
    x = 382,596.76

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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.