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Finding the Fourth Proportional to 295,629.80, 407,969.06 and 159,663.74

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Solution

The fourth proportional to 295,629.80, 407,969.06 and 159,663.74 is: 220,335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,629.80 : 407,969.06 = 159,663.74 : x
  2. Step 2: Convert to fraction form
    295,629.80/407,969.06 = 159,663.74/x
  3. Step 3: Cross multiply
    295,629.80x = 407,969.06 × 159,663.74
  4. Step 4: Simplify right side
    295,629.80x = 65,137,863,085.72
  5. Step 5: Solve for x
    x = 65,137,863,085.72/295,629.80
  6. Step 6: Final answer
    x = 220,335.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.