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Finding the Fourth Proportional to 532,193, 734,426.34 and 362,723.18

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Solution

The fourth proportional to 532,193, 734,426.34 and 362,723.18 is: 500,557.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,193 : 734,426.34 = 362,723.18 : x
  2. Step 2: Convert to fraction form
    532,193/734,426.34 = 362,723.18/x
  3. Step 3: Cross multiply
    532,193x = 734,426.34 × 362,723.18
  4. Step 4: Simplify right side
    532,193x = 266,393,457,520.56
  5. Step 5: Solve for x
    x = 266,393,457,520.56/532,193
  6. Step 6: Final answer
    x = 500,557.99

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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.