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Finding the Fourth Proportional to 415,704.40, 624,017.40 and 258,110.80

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Solution

The fourth proportional to 415,704.40, 624,017.40 and 258,110.80 is: 387,452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,704.40 : 624,017.40 = 258,110.80 : x
  2. Step 2: Convert to fraction form
    415,704.40/624,017.40 = 258,110.80/x
  3. Step 3: Cross multiply
    415,704.40x = 624,017.40 × 258,110.80
  4. Step 4: Simplify right side
    415,704.40x = 161,065,630,327.92
  5. Step 5: Solve for x
    x = 161,065,630,327.92/415,704.40
  6. Step 6: Final answer
    x = 387,452.31

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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.