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Finding the Fourth Proportional to 364,894.41, 547,467.98 and 151,777.34

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Solution

The fourth proportional to 364,894.41, 547,467.98 and 151,777.34 is: 227,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,894.41 : 547,467.98 = 151,777.34 : x
  2. Step 2: Convert to fraction form
    364,894.41/547,467.98 = 151,777.34/x
  3. Step 3: Cross multiply
    364,894.41x = 547,467.98 × 151,777.34
  4. Step 4: Simplify right side
    364,894.41x = 83,093,233,150.10
  5. Step 5: Solve for x
    x = 83,093,233,150.10/364,894.41
  6. Step 6: Final answer
    x = 227,718.57

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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.