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Finding the Fourth Proportional to 569,902.56, 854,809.47 and 232,853.46

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Solution

The fourth proportional to 569,902.56, 854,809.47 and 232,853.46 is: 349,262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,902.56 : 854,809.47 = 232,853.46 : x
  2. Step 2: Convert to fraction form
    569,902.56/854,809.47 = 232,853.46/x
  3. Step 3: Cross multiply
    569,902.56x = 854,809.47 × 232,853.46
  4. Step 4: Simplify right side
    569,902.56x = 199,045,342,730.27
  5. Step 5: Solve for x
    x = 199,045,342,730.27/569,902.56
  6. Step 6: Final answer
    x = 349,262.06

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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.