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Finding the Fourth Proportional to 310,142.56, 465,208.56 and 176,738.26

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Solution

The fourth proportional to 310,142.56, 465,208.56 and 176,738.26 is: 265,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,142.56 : 465,208.56 = 176,738.26 : x
  2. Step 2: Convert to fraction form
    310,142.56/465,208.56 = 176,738.26/x
  3. Step 3: Cross multiply
    310,142.56x = 465,208.56 × 176,738.26
  4. Step 4: Simplify right side
    310,142.56x = 82,220,151,431.51
  5. Step 5: Solve for x
    x = 82,220,151,431.51/310,142.56
  6. Step 6: Final answer
    x = 265,104.38

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1.5x scale

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.