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Finding the Fourth Proportional to 415,421.80, 623,199.09 and 175,537.97

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Solution

The fourth proportional to 415,421.80, 623,199.09 and 175,537.97 is: 263,335.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,421.80 : 623,199.09 = 175,537.97 : x
  2. Step 2: Convert to fraction form
    415,421.80/623,199.09 = 175,537.97/x
  3. Step 3: Cross multiply
    415,421.80x = 623,199.09 × 175,537.97
  4. Step 4: Simplify right side
    415,421.80x = 109,395,105,380.71
  5. Step 5: Solve for x
    x = 109,395,105,380.71/415,421.80
  6. Step 6: Final answer
    x = 263,335.01

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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.