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Finding the Fourth Proportional to 292,411.80, 437,645.70 and 212,221.80

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Solution

The fourth proportional to 292,411.80, 437,645.70 and 212,221.80 is: 317,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,411.80 : 437,645.70 = 212,221.80 : x
  2. Step 2: Convert to fraction form
    292,411.80/437,645.70 = 212,221.80/x
  3. Step 3: Cross multiply
    292,411.80x = 437,645.70 × 212,221.80
  4. Step 4: Simplify right side
    292,411.80x = 92,877,958,216.26
  5. Step 5: Solve for x
    x = 92,877,958,216.26/292,411.80
  6. Step 6: Final answer
    x = 317,627.26

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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.