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Finding the Fourth Proportional to 384,548.58, 530,673.92 and 212,466

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Solution

The fourth proportional to 384,548.58, 530,673.92 and 212,466 is: 293,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,548.58 : 530,673.92 = 212,466 : x
  2. Step 2: Convert to fraction form
    384,548.58/530,673.92 = 212,466/x
  3. Step 3: Cross multiply
    384,548.58x = 530,673.92 × 212,466
  4. Step 4: Simplify right side
    384,548.58x = 112,750,165,086.72
  5. Step 5: Solve for x
    x = 112,750,165,086.72/384,548.58
  6. Step 6: Final answer
    x = 293,201.36

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1.5x scale

Why These Related Problems?

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