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Finding the Fourth Proportional to 502,651.70, 753,977.55 and 414,005.30

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Solution

The fourth proportional to 502,651.70, 753,977.55 and 414,005.30 is: 621,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,651.70 : 753,977.55 = 414,005.30 : x
  2. Step 2: Convert to fraction form
    502,651.70/753,977.55 = 414,005.30/x
  3. Step 3: Cross multiply
    502,651.70x = 753,977.55 × 414,005.30
  4. Step 4: Simplify right side
    502,651.70x = 312,150,701,781.02
  5. Step 5: Solve for x
    x = 312,150,701,781.02/502,651.70
  6. Step 6: Final answer
    x = 621,007.95

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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.