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Finding the Fourth Proportional to 419,050.90, 628,576.35 and 153,002.35

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Solution

The fourth proportional to 419,050.90, 628,576.35 and 153,002.35 is: 229,503.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,050.90 : 628,576.35 = 153,002.35 : x
  2. Step 2: Convert to fraction form
    419,050.90/628,576.35 = 153,002.35/x
  3. Step 3: Cross multiply
    419,050.90x = 628,576.35 × 153,002.35
  4. Step 4: Simplify right side
    419,050.90x = 96,173,658,704.42
  5. Step 5: Solve for x
    x = 96,173,658,704.42/419,050.90
  6. Step 6: Final answer
    x = 229,503.53

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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.