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Finding the Fourth Proportional to 462,734.40, 693,640.80 and 212,980.80

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Solution

The fourth proportional to 462,734.40, 693,640.80 and 212,980.80 is: 319,259.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,734.40 : 693,640.80 = 212,980.80 : x
  2. Step 2: Convert to fraction form
    462,734.40/693,640.80 = 212,980.80/x
  3. Step 3: Cross multiply
    462,734.40x = 693,640.80 × 212,980.80
  4. Step 4: Simplify right side
    462,734.40x = 147,732,172,496.64
  5. Step 5: Solve for x
    x = 147,732,172,496.64/462,734.40
  6. Step 6: Final answer
    x = 319,259.11

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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.