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Finding the Fourth Proportional to 260,438.64, 359,366.04 and 158,411.76

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Solution

The fourth proportional to 260,438.64, 359,366.04 and 158,411.76 is: 218,584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,438.64 : 359,366.04 = 158,411.76 : x
  2. Step 2: Convert to fraction form
    260,438.64/359,366.04 = 158,411.76/x
  3. Step 3: Cross multiply
    260,438.64x = 359,366.04 × 158,411.76
  4. Step 4: Simplify right side
    260,438.64x = 56,927,806,880.63
  5. Step 5: Solve for x
    x = 56,927,806,880.63/260,438.64
  6. Step 6: Final answer
    x = 218,584.33

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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.