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Finding the Fourth Proportional to 460,447.56, 635,730.84 and 288,436.68

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Solution

The fourth proportional to 460,447.56, 635,730.84 and 288,436.68 is: 398,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,447.56 : 635,730.84 = 288,436.68 : x
  2. Step 2: Convert to fraction form
    460,447.56/635,730.84 = 288,436.68/x
  3. Step 3: Cross multiply
    460,447.56x = 635,730.84 × 288,436.68
  4. Step 4: Simplify right side
    460,447.56x = 183,368,092,863.21
  5. Step 5: Solve for x
    x = 183,368,092,863.21/460,447.56
  6. Step 6: Final answer
    x = 398,238.82

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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.