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Finding the Fourth Proportional to 466,489.31, 643,728.60 and 262,548.72

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Solution

The fourth proportional to 466,489.31, 643,728.60 and 262,548.72 is: 362,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,489.31 : 643,728.60 = 262,548.72 : x
  2. Step 2: Convert to fraction form
    466,489.31/643,728.60 = 262,548.72/x
  3. Step 3: Cross multiply
    466,489.31x = 643,728.60 × 262,548.72
  4. Step 4: Simplify right side
    466,489.31x = 169,010,119,957.39
  5. Step 5: Solve for x
    x = 169,010,119,957.39/466,489.31
  6. Step 6: Final answer
    x = 362,302.24

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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.