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Finding the Fourth Proportional to 296,866.48, 409,397.88 and 189,505.84

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Solution

The fourth proportional to 296,866.48, 409,397.88 and 189,505.84 is: 261,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,866.48 : 409,397.88 = 189,505.84 : x
  2. Step 2: Convert to fraction form
    296,866.48/409,397.88 = 189,505.84/x
  3. Step 3: Cross multiply
    296,866.48x = 409,397.88 × 189,505.84
  4. Step 4: Simplify right side
    296,866.48x = 77,583,289,143.62
  5. Step 5: Solve for x
    x = 77,583,289,143.62/296,866.48
  6. Step 6: Final answer
    x = 261,340.68

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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.