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Finding the Fourth Proportional to 297,817.40, 446,726.10 and 238,768.40

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Solution

The fourth proportional to 297,817.40, 446,726.10 and 238,768.40 is: 358,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,817.40 : 446,726.10 = 238,768.40 : x
  2. Step 2: Convert to fraction form
    297,817.40/446,726.10 = 238,768.40/x
  3. Step 3: Cross multiply
    297,817.40x = 446,726.10 × 238,768.40
  4. Step 4: Simplify right side
    297,817.40x = 106,664,076,135.24
  5. Step 5: Solve for x
    x = 106,664,076,135.24/297,817.40
  6. Step 6: Final answer
    x = 358,152.60

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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.