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Finding the Fourth Proportional to 384,058.30, 530,000.12 and 214,292.42

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Solution

The fourth proportional to 384,058.30, 530,000.12 and 214,292.42 is: 295,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,058.30 : 530,000.12 = 214,292.42 : x
  2. Step 2: Convert to fraction form
    384,058.30/530,000.12 = 214,292.42/x
  3. Step 3: Cross multiply
    384,058.30x = 530,000.12 × 214,292.42
  4. Step 4: Simplify right side
    384,058.30x = 113,575,008,315.09
  5. Step 5: Solve for x
    x = 113,575,008,315.09/384,058.30
  6. Step 6: Final answer
    x = 295,723.35

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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.