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Finding the Fourth Proportional to 654,537.40, 903,245.94 and 428,178.04

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Solution

The fourth proportional to 654,537.40, 903,245.94 and 428,178.04 is: 590,875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,537.40 : 903,245.94 = 428,178.04 : x
  2. Step 2: Convert to fraction form
    654,537.40/903,245.94 = 428,178.04/x
  3. Step 3: Cross multiply
    654,537.40x = 903,245.94 × 428,178.04
  4. Step 4: Simplify right side
    654,537.40x = 386,750,076,227.16
  5. Step 5: Solve for x
    x = 386,750,076,227.16/654,537.40
  6. Step 6: Final answer
    x = 590,875.44

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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.