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Finding the Fourth Proportional to 415,421.43, 623,198.53 and 175,537.60

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Solution

The fourth proportional to 415,421.43, 623,198.53 and 175,537.60 is: 263,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,421.43 : 623,198.53 = 175,537.60 : x
  2. Step 2: Convert to fraction form
    415,421.43/623,198.53 = 175,537.60/x
  3. Step 3: Cross multiply
    415,421.43x = 623,198.53 × 175,537.60
  4. Step 4: Simplify right side
    415,421.43x = 109,394,772,941.15
  5. Step 5: Solve for x
    x = 109,394,772,941.15/415,421.43
  6. Step 6: Final answer
    x = 263,334.45

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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.