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Finding the Fourth Proportional to 294,783.20, 406,479.60 and 199,123.84

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Solution

The fourth proportional to 294,783.20, 406,479.60 and 199,123.84 is: 274,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,783.20 : 406,479.60 = 199,123.84 : x
  2. Step 2: Convert to fraction form
    294,783.20/406,479.60 = 199,123.84/x
  3. Step 3: Cross multiply
    294,783.20x = 406,479.60 × 199,123.84
  4. Step 4: Simplify right side
    294,783.20x = 80,939,778,833.66
  5. Step 5: Solve for x
    x = 80,939,778,833.66/294,783.20
  6. Step 6: Final answer
    x = 274,573.92

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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.