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Finding the Fourth Proportional to 647,103.20, 971,230.80 and 380,530.40

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Solution

The fourth proportional to 647,103.20, 971,230.80 and 380,530.40 is: 571,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,103.20 : 971,230.80 = 380,530.40 : x
  2. Step 2: Convert to fraction form
    647,103.20/971,230.80 = 380,530.40/x
  3. Step 3: Cross multiply
    647,103.20x = 971,230.80 × 380,530.40
  4. Step 4: Simplify right side
    647,103.20x = 369,582,844,816.32
  5. Step 5: Solve for x
    x = 369,582,844,816.32/647,103.20
  6. Step 6: Final answer
    x = 571,134.32

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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.