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Finding the Fourth Proportional to 419,333.39, 578,279.44 and 281,822.93

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Solution

The fourth proportional to 419,333.39, 578,279.44 and 281,822.93 is: 388,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,333.39 : 578,279.44 = 281,822.93 : x
  2. Step 2: Convert to fraction form
    419,333.39/578,279.44 = 281,822.93/x
  3. Step 3: Cross multiply
    419,333.39x = 578,279.44 × 281,822.93
  4. Step 4: Simplify right side
    419,333.39x = 162,972,406,139.56
  5. Step 5: Solve for x
    x = 162,972,406,139.56/419,333.39
  6. Step 6: Final answer
    x = 388,646.39

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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.