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Finding the Fourth Proportional to 472,433.24, 708,684.53 and 202,297.93

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Solution

The fourth proportional to 472,433.24, 708,684.53 and 202,297.93 is: 303,461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,433.24 : 708,684.53 = 202,297.93 : x
  2. Step 2: Convert to fraction form
    472,433.24/708,684.53 = 202,297.93/x
  3. Step 3: Cross multiply
    472,433.24x = 708,684.53 × 202,297.93
  4. Step 4: Simplify right side
    472,433.24x = 143,365,410,658.82
  5. Step 5: Solve for x
    x = 143,365,410,658.82/472,433.24
  6. Step 6: Final answer
    x = 303,461.73

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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.