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Finding the Fourth Proportional to 262,123.32, 361,826.76 and 230,197.98

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Solution

The fourth proportional to 262,123.32, 361,826.76 and 230,197.98 is: 317,758.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,123.32 : 361,826.76 = 230,197.98 : x
  2. Step 2: Convert to fraction form
    262,123.32/361,826.76 = 230,197.98/x
  3. Step 3: Cross multiply
    262,123.32x = 361,826.76 × 230,197.98
  4. Step 4: Simplify right side
    262,123.32x = 83,291,789,261.94
  5. Step 5: Solve for x
    x = 83,291,789,261.94/262,123.32
  6. Step 6: Final answer
    x = 317,758.03

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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.