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Finding the Fourth Proportional to 310,430.40, 465,710.40 and 177,201.60

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Solution

The fourth proportional to 310,430.40, 465,710.40 and 177,201.60 is: 265,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,430.40 : 465,710.40 = 177,201.60 : x
  2. Step 2: Convert to fraction form
    310,430.40/465,710.40 = 177,201.60/x
  3. Step 3: Cross multiply
    310,430.40x = 465,710.40 × 177,201.60
  4. Step 4: Simplify right side
    310,430.40x = 82,524,628,016.64
  5. Step 5: Solve for x
    x = 82,524,628,016.64/310,430.40
  6. Step 6: Final answer
    x = 265,839.39

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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.