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Finding the Fourth Proportional to 413,815.20, 620,722.80 and 245,853.60

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Solution

The fourth proportional to 413,815.20, 620,722.80 and 245,853.60 is: 368,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,815.20 : 620,722.80 = 245,853.60 : x
  2. Step 2: Convert to fraction form
    413,815.20/620,722.80 = 245,853.60/x
  3. Step 3: Cross multiply
    413,815.20x = 620,722.80 × 245,853.60
  4. Step 4: Simplify right side
    413,815.20x = 152,606,934,982.08
  5. Step 5: Solve for x
    x = 152,606,934,982.08/413,815.20
  6. Step 6: Final answer
    x = 368,780.40

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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.