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Finding the Fourth Proportional to 310,471.54, 465,701.48 and 169,215.76

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Solution

The fourth proportional to 310,471.54, 465,701.48 and 169,215.76 is: 253,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,471.54 : 465,701.48 = 169,215.76 : x
  2. Step 2: Convert to fraction form
    310,471.54/465,701.48 = 169,215.76/x
  3. Step 3: Cross multiply
    310,471.54x = 465,701.48 × 169,215.76
  4. Step 4: Simplify right side
    310,471.54x = 78,804,026,696.74
  5. Step 5: Solve for x
    x = 78,804,026,696.74/310,471.54
  6. Step 6: Final answer
    x = 253,820.46

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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.