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Finding the Fourth Proportional to 583,249.81, 804,884.75 and 314,977.81

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Solution

The fourth proportional to 583,249.81, 804,884.75 and 314,977.81 is: 434,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,249.81 : 804,884.75 = 314,977.81 : x
  2. Step 2: Convert to fraction form
    583,249.81/804,884.75 = 314,977.81/x
  3. Step 3: Cross multiply
    583,249.81x = 804,884.75 × 314,977.81
  4. Step 4: Simplify right side
    583,249.81x = 253,520,835,857.40
  5. Step 5: Solve for x
    x = 253,520,835,857.40/583,249.81
  6. Step 6: Final answer
    x = 434,669.38

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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.