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Finding the Fourth Proportional to 296,041.41, 408,512.46 and 166,972.77

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Solution

The fourth proportional to 296,041.41, 408,512.46 and 166,972.77 is: 230,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,041.41 : 408,512.46 = 166,972.77 : x
  2. Step 2: Convert to fraction form
    296,041.41/408,512.46 = 166,972.77/x
  3. Step 3: Cross multiply
    296,041.41x = 408,512.46 × 166,972.77
  4. Step 4: Simplify right side
    296,041.41x = 68,210,457,025.71
  5. Step 5: Solve for x
    x = 68,210,457,025.71/296,041.41
  6. Step 6: Final answer
    x = 230,408.50

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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.