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Finding the Fourth Proportional to 492,064.24, 737,629.80 and 242,454.64

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Solution

The fourth proportional to 492,064.24, 737,629.80 and 242,454.64 is: 363,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,064.24 : 737,629.80 = 242,454.64 : x
  2. Step 2: Convert to fraction form
    492,064.24/737,629.80 = 242,454.64/x
  3. Step 3: Cross multiply
    492,064.24x = 737,629.80 × 242,454.64
  4. Step 4: Simplify right side
    492,064.24x = 178,841,767,612.27
  5. Step 5: Solve for x
    x = 178,841,767,612.27/492,064.24
  6. Step 6: Final answer
    x = 363,452.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.