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Finding the Fourth Proportional to 583,297.50, 804,950.55 and 315,025.50

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Solution

The fourth proportional to 583,297.50, 804,950.55 and 315,025.50 is: 434,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,297.50 : 804,950.55 = 315,025.50 : x
  2. Step 2: Convert to fraction form
    583,297.50/804,950.55 = 315,025.50/x
  3. Step 3: Cross multiply
    583,297.50x = 804,950.55 × 315,025.50
  4. Step 4: Simplify right side
    583,297.50x = 253,579,949,489.03
  5. Step 5: Solve for x
    x = 253,579,949,489.03/583,297.50
  6. Step 6: Final answer
    x = 434,735.19

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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.