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Finding the Fourth Proportional to 297,748.61, 410,894.92 and 161,782.94

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Solution

The fourth proportional to 297,748.61, 410,894.92 and 161,782.94 is: 223,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,748.61 : 410,894.92 = 161,782.94 : x
  2. Step 2: Convert to fraction form
    297,748.61/410,894.92 = 161,782.94/x
  3. Step 3: Cross multiply
    297,748.61x = 410,894.92 × 161,782.94
  4. Step 4: Simplify right side
    297,748.61x = 66,475,785,527.50
  5. Step 5: Solve for x
    x = 66,475,785,527.50/297,748.61
  6. Step 6: Final answer
    x = 223,261.45

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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.