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Finding the Fourth Proportional to 463,902.04, 638,761.26 and 406,211.32

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Solution

The fourth proportional to 463,902.04, 638,761.26 and 406,211.32 is: 559,325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,902.04 : 638,761.26 = 406,211.32 : x
  2. Step 2: Convert to fraction form
    463,902.04/638,761.26 = 406,211.32/x
  3. Step 3: Cross multiply
    463,902.04x = 638,761.26 × 406,211.32
  4. Step 4: Simplify right side
    463,902.04x = 259,472,054,589.46
  5. Step 5: Solve for x
    x = 259,472,054,589.46/463,902.04
  6. Step 6: Final answer
    x = 559,325.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.