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Finding the Fourth Proportional to 296,069.58, 408,762.72 and 205,393.86

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Solution

The fourth proportional to 296,069.58, 408,762.72 and 205,393.86 is: 283,573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,069.58 : 408,762.72 = 205,393.86 : x
  2. Step 2: Convert to fraction form
    296,069.58/408,762.72 = 205,393.86/x
  3. Step 3: Cross multiply
    296,069.58x = 408,762.72 × 205,393.86
  4. Step 4: Simplify right side
    296,069.58x = 83,957,352,884.90
  5. Step 5: Solve for x
    x = 83,957,352,884.90/296,069.58
  6. Step 6: Final answer
    x = 283,573.05

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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.