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Finding the Fourth Proportional to 601,457.41, 829,998.52 and 329,512.06

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Solution

The fourth proportional to 601,457.41, 829,998.52 and 329,512.06 is: 454,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,457.41 : 829,998.52 = 329,512.06 : x
  2. Step 2: Convert to fraction form
    601,457.41/829,998.52 = 329,512.06/x
  3. Step 3: Cross multiply
    601,457.41x = 829,998.52 × 329,512.06
  4. Step 4: Simplify right side
    601,457.41x = 273,494,522,122.15
  5. Step 5: Solve for x
    x = 273,494,522,122.15/601,457.41
  6. Step 6: Final answer
    x = 454,719.68

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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.