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Finding the Fourth Proportional to 569,052.54, 853,559.10 and 142,592.09

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Solution

The fourth proportional to 569,052.54, 853,559.10 and 142,592.09 is: 213,883.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,052.54 : 853,559.10 = 142,592.09 : x
  2. Step 2: Convert to fraction form
    569,052.54/853,559.10 = 142,592.09/x
  3. Step 3: Cross multiply
    569,052.54x = 853,559.10 × 142,592.09
  4. Step 4: Simplify right side
    569,052.54x = 121,710,771,739.72
  5. Step 5: Solve for x
    x = 121,710,771,739.72/569,052.54
  6. Step 6: Final answer
    x = 213,883.19

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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.