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Finding the Fourth Proportional to 583,476.04, 804,097.68 and 422,057.32

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Solution

The fourth proportional to 583,476.04, 804,097.68 and 422,057.32 is: 581,643.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,476.04 : 804,097.68 = 422,057.32 : x
  2. Step 2: Convert to fraction form
    583,476.04/804,097.68 = 422,057.32/x
  3. Step 3: Cross multiply
    583,476.04x = 804,097.68 × 422,057.32
  4. Step 4: Simplify right side
    583,476.04x = 339,375,311,839.02
  5. Step 5: Solve for x
    x = 339,375,311,839.02/583,476.04
  6. Step 6: Final answer
    x = 581,643.96

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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.