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Finding the Fourth Proportional to 395,454.42, 593,058.90 and 142,702.14

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Solution

The fourth proportional to 395,454.42, 593,058.90 and 142,702.14 is: 214,008.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,454.42 : 593,058.90 = 142,702.14 : x
  2. Step 2: Convert to fraction form
    395,454.42/593,058.90 = 142,702.14/x
  3. Step 3: Cross multiply
    395,454.42x = 593,058.90 × 142,702.14
  4. Step 4: Simplify right side
    395,454.42x = 84,630,774,176.05
  5. Step 5: Solve for x
    x = 84,630,774,176.05/395,454.42
  6. Step 6: Final answer
    x = 214,008.92

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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.