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Finding the Fourth Proportional to 415,504.98, 623,595.24 and 235,704.42

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Solution

The fourth proportional to 415,504.98, 623,595.24 and 235,704.42 is: 353,748.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,504.98 : 623,595.24 = 235,704.42 : x
  2. Step 2: Convert to fraction form
    415,504.98/623,595.24 = 235,704.42/x
  3. Step 3: Cross multiply
    415,504.98x = 623,595.24 × 235,704.42
  4. Step 4: Simplify right side
    415,504.98x = 146,984,154,358.96
  5. Step 5: Solve for x
    x = 146,984,154,358.96/415,504.98
  6. Step 6: Final answer
    x = 353,748.24

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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.