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Finding the Fourth Proportional to 458,692.16, 633,010.89 and 254,746.31

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Solution

The fourth proportional to 458,692.16, 633,010.89 and 254,746.31 is: 351,558.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,692.16 : 633,010.89 = 254,746.31 : x
  2. Step 2: Convert to fraction form
    458,692.16/633,010.89 = 254,746.31/x
  3. Step 3: Cross multiply
    458,692.16x = 633,010.89 × 254,746.31
  4. Step 4: Simplify right side
    458,692.16x = 161,257,185,252.26
  5. Step 5: Solve for x
    x = 161,257,185,252.26/458,692.16
  6. Step 6: Final answer
    x = 351,558.63

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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.