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Finding the Fourth Proportional to 524,074.56, 723,141.90 and 294,589.32

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Solution

The fourth proportional to 524,074.56, 723,141.90 and 294,589.32 is: 406,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,074.56 : 723,141.90 = 294,589.32 : x
  2. Step 2: Convert to fraction form
    524,074.56/723,141.90 = 294,589.32/x
  3. Step 3: Cross multiply
    524,074.56x = 723,141.90 × 294,589.32
  4. Step 4: Simplify right side
    524,074.56x = 213,029,880,584.51
  5. Step 5: Solve for x
    x = 213,029,880,584.51/524,074.56
  6. Step 6: Final answer
    x = 406,487.73

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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.