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Finding the Fourth Proportional to 647,651.20, 971,246.40 and 292,835.20

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Solution

The fourth proportional to 647,651.20, 971,246.40 and 292,835.20 is: 439,148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,651.20 : 971,246.40 = 292,835.20 : x
  2. Step 2: Convert to fraction form
    647,651.20/971,246.40 = 292,835.20/x
  3. Step 3: Cross multiply
    647,651.20x = 971,246.40 × 292,835.20
  4. Step 4: Simplify right side
    647,651.20x = 284,415,133,793.28
  5. Step 5: Solve for x
    x = 284,415,133,793.28/647,651.20
  6. Step 6: Final answer
    x = 439,148.62

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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.