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Finding the Fourth Proportional to 462,937.20, 694,405.80 and 384,205.20

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Solution

The fourth proportional to 462,937.20, 694,405.80 and 384,205.20 is: 576,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,937.20 : 694,405.80 = 384,205.20 : x
  2. Step 2: Convert to fraction form
    462,937.20/694,405.80 = 384,205.20/x
  3. Step 3: Cross multiply
    462,937.20x = 694,405.80 × 384,205.20
  4. Step 4: Simplify right side
    462,937.20x = 266,794,319,270.16
  5. Step 5: Solve for x
    x = 266,794,319,270.16/462,937.20
  6. Step 6: Final answer
    x = 576,307.80

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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.