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Finding the Fourth Proportional to 435,208.80, 652,813.20 and 285,909.60

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Solution

The fourth proportional to 435,208.80, 652,813.20 and 285,909.60 is: 428,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,208.80 : 652,813.20 = 285,909.60 : x
  2. Step 2: Convert to fraction form
    435,208.80/652,813.20 = 285,909.60/x
  3. Step 3: Cross multiply
    435,208.80x = 652,813.20 × 285,909.60
  4. Step 4: Simplify right side
    435,208.80x = 186,645,560,886.72
  5. Step 5: Solve for x
    x = 186,645,560,886.72/435,208.80
  6. Step 6: Final answer
    x = 428,864.40

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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.