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Finding the Fourth Proportional to 264,347.55, 364,989.24 and 162,509.63

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Solution

The fourth proportional to 264,347.55, 364,989.24 and 162,509.63 is: 224,379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,347.55 : 364,989.24 = 162,509.63 : x
  2. Step 2: Convert to fraction form
    264,347.55/364,989.24 = 162,509.63/x
  3. Step 3: Cross multiply
    264,347.55x = 364,989.24 × 162,509.63
  4. Step 4: Simplify right side
    264,347.55x = 59,314,264,521.44
  5. Step 5: Solve for x
    x = 59,314,264,521.44/264,347.55
  6. Step 6: Final answer
    x = 224,379.85

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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.