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Finding the Fourth Proportional to 364,197.47, 502,596.29 and 211,245.98

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Solution

The fourth proportional to 364,197.47, 502,596.29 and 211,245.98 is: 291,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,197.47 : 502,596.29 = 211,245.98 : x
  2. Step 2: Convert to fraction form
    364,197.47/502,596.29 = 211,245.98/x
  3. Step 3: Cross multiply
    364,197.47x = 502,596.29 × 211,245.98
  4. Step 4: Simplify right side
    364,197.47x = 106,171,443,840.55
  5. Step 5: Solve for x
    x = 106,171,443,840.55/364,197.47
  6. Step 6: Final answer
    x = 291,521.64

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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.