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Finding the Fourth Proportional to 402,405.44, 603,701.51 and 118,084.50

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Solution

The fourth proportional to 402,405.44, 603,701.51 and 118,084.50 is: 177,154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,405.44 : 603,701.51 = 118,084.50 : x
  2. Step 2: Convert to fraction form
    402,405.44/603,701.51 = 118,084.50/x
  3. Step 3: Cross multiply
    402,405.44x = 603,701.51 × 118,084.50
  4. Step 4: Simplify right side
    402,405.44x = 71,287,790,367.17
  5. Step 5: Solve for x
    x = 71,287,790,367.17/402,405.44
  6. Step 6: Final answer
    x = 177,154.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.