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Finding the Fourth Proportional to 462,599.52, 692,821.48 and 449,830.17

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Solution

The fourth proportional to 462,599.52, 692,821.48 and 449,830.17 is: 673,697.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,599.52 : 692,821.48 = 449,830.17 : x
  2. Step 2: Convert to fraction form
    462,599.52/692,821.48 = 449,830.17/x
  3. Step 3: Cross multiply
    462,599.52x = 692,821.48 × 449,830.17
  4. Step 4: Simplify right side
    462,599.52x = 311,652,003,556.04
  5. Step 5: Solve for x
    x = 311,652,003,556.04/462,599.52
  6. Step 6: Final answer
    x = 673,697.21

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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.