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Finding the Fourth Proportional to 430,058.40, 644,893.20 and 193,279.20

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Solution

The fourth proportional to 430,058.40, 644,893.20 and 193,279.20 is: 289,831.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,058.40 : 644,893.20 = 193,279.20 : x
  2. Step 2: Convert to fraction form
    430,058.40/644,893.20 = 193,279.20/x
  3. Step 3: Cross multiply
    430,058.40x = 644,893.20 × 193,279.20
  4. Step 4: Simplify right side
    430,058.40x = 124,644,441,781.44
  5. Step 5: Solve for x
    x = 124,644,441,781.44/430,058.40
  6. Step 6: Final answer
    x = 289,831.43

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1.5x scale

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.