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Finding the Fourth Proportional to 384,090.32, 530,044.68 and 212,008.34

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Solution

The fourth proportional to 384,090.32, 530,044.68 and 212,008.34 is: 292,571.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,090.32 : 530,044.68 = 212,008.34 : x
  2. Step 2: Convert to fraction form
    384,090.32/530,044.68 = 212,008.34/x
  3. Step 3: Cross multiply
    384,090.32x = 530,044.68 × 212,008.34
  4. Step 4: Simplify right side
    384,090.32x = 112,373,892,732.63
  5. Step 5: Solve for x
    x = 112,373,892,732.63/384,090.32
  6. Step 6: Final answer
    x = 292,571.53

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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.