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Finding the Fourth Proportional to 213,710.56, 296,269.25 and 202,334.51

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Solution

The fourth proportional to 213,710.56, 296,269.25 and 202,334.51 is: 280,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,710.56 : 296,269.25 = 202,334.51 : x
  2. Step 2: Convert to fraction form
    213,710.56/296,269.25 = 202,334.51/x
  3. Step 3: Cross multiply
    213,710.56x = 296,269.25 × 202,334.51
  4. Step 4: Simplify right side
    213,710.56x = 59,945,493,255.82
  5. Step 5: Solve for x
    x = 59,945,493,255.82/213,710.56
  6. Step 6: Final answer
    x = 280,498.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.