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Finding the Fourth Proportional to 262,124.32, 361,828.14 and 230,198.98

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Solution

The fourth proportional to 262,124.32, 361,828.14 and 230,198.98 is: 317,759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,124.32 : 361,828.14 = 230,198.98 : x
  2. Step 2: Convert to fraction form
    262,124.32/361,828.14 = 230,198.98/x
  3. Step 3: Cross multiply
    262,124.32x = 361,828.14 × 230,198.98
  4. Step 4: Simplify right side
    262,124.32x = 83,292,468,763.30
  5. Step 5: Solve for x
    x = 83,292,468,763.30/262,124.32
  6. Step 6: Final answer
    x = 317,759.41

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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.