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Finding the Fourth Proportional to 280,782, 387,256.24 and 212,100.64

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Solution

The fourth proportional to 280,782, 387,256.24 and 212,100.64 is: 292,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,782 : 387,256.24 = 212,100.64 : x
  2. Step 2: Convert to fraction form
    280,782/387,256.24 = 212,100.64/x
  3. Step 3: Cross multiply
    280,782x = 387,256.24 × 212,100.64
  4. Step 4: Simplify right side
    280,782x = 82,137,296,347.99
  5. Step 5: Solve for x
    x = 82,137,296,347.99/280,782
  6. Step 6: Final answer
    x = 292,530.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.