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Finding the Fourth Proportional to 639,412.60, 957,855.30 and 414,929.20

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Solution

The fourth proportional to 639,412.60, 957,855.30 and 414,929.20 is: 621,573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,412.60 : 957,855.30 = 414,929.20 : x
  2. Step 2: Convert to fraction form
    639,412.60/957,855.30 = 414,929.20/x
  3. Step 3: Cross multiply
    639,412.60x = 957,855.30 × 414,929.20
  4. Step 4: Simplify right side
    639,412.60x = 397,442,133,344.76
  5. Step 5: Solve for x
    x = 397,442,133,344.76/639,412.60
  6. Step 6: Final answer
    x = 621,573.82

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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.