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Finding the Fourth Proportional to 309,283.26, 463,852.50 and 174,405.60

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Solution

The fourth proportional to 309,283.26, 463,852.50 and 174,405.60 is: 261,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,283.26 : 463,852.50 = 174,405.60 : x
  2. Step 2: Convert to fraction form
    309,283.26/463,852.50 = 174,405.60/x
  3. Step 3: Cross multiply
    309,283.26x = 463,852.50 × 174,405.60
  4. Step 4: Simplify right side
    309,283.26x = 80,898,473,574
  5. Step 5: Solve for x
    x = 80,898,473,574/309,283.26
  6. Step 6: Final answer
    x = 261,567.58

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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.