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Finding the Fourth Proportional to 257,591.34, 355,488.12 and 160,852.44

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Solution

The fourth proportional to 257,591.34, 355,488.12 and 160,852.44 is: 221,983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,591.34 : 355,488.12 = 160,852.44 : x
  2. Step 2: Convert to fraction form
    257,591.34/355,488.12 = 160,852.44/x
  3. Step 3: Cross multiply
    257,591.34x = 355,488.12 × 160,852.44
  4. Step 4: Simplify right side
    257,591.34x = 57,181,131,493.01
  5. Step 5: Solve for x
    x = 57,181,131,493.01/257,591.34
  6. Step 6: Final answer
    x = 221,983.90

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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.