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Finding the Fourth Proportional to 264,339.34, 364,977.76 and 162,501.28

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Solution

The fourth proportional to 264,339.34, 364,977.76 and 162,501.28 is: 224,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,339.34 : 364,977.76 = 162,501.28 : x
  2. Step 2: Convert to fraction form
    264,339.34/364,977.76 = 162,501.28/x
  3. Step 3: Cross multiply
    264,339.34x = 364,977.76 × 162,501.28
  4. Step 4: Simplify right side
    264,339.34x = 59,309,353,171.53
  5. Step 5: Solve for x
    x = 59,309,353,171.53/264,339.34
  6. Step 6: Final answer
    x = 224,368.24

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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.