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Finding the Fourth Proportional to 583,414.24, 805,111.68 and 315,142.24

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Solution

The fourth proportional to 583,414.24, 805,111.68 and 315,142.24 is: 434,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,414.24 : 805,111.68 = 315,142.24 : x
  2. Step 2: Convert to fraction form
    583,414.24/805,111.68 = 315,142.24/x
  3. Step 3: Cross multiply
    583,414.24x = 805,111.68 × 315,142.24
  4. Step 4: Simplify right side
    583,414.24x = 253,724,698,285.36
  5. Step 5: Solve for x
    x = 253,724,698,285.36/583,414.24
  6. Step 6: Final answer
    x = 434,896.31

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