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Finding the Fourth Proportional to 583,952.88, 805,855.64 and 342,187.32

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Solution

The fourth proportional to 583,952.88, 805,855.64 and 342,187.32 is: 472,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,952.88 : 805,855.64 = 342,187.32 : x
  2. Step 2: Convert to fraction form
    583,952.88/805,855.64 = 342,187.32/x
  3. Step 3: Cross multiply
    583,952.88x = 805,855.64 × 342,187.32
  4. Step 4: Simplify right side
    583,952.88x = 275,753,581,758.49
  5. Step 5: Solve for x
    x = 275,753,581,758.49/583,952.88
  6. Step 6: Final answer
    x = 472,218.89

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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.