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Finding the Fourth Proportional to 264,253.92, 364,973.20 and 174,013.28

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Solution

The fourth proportional to 264,253.92, 364,973.20 and 174,013.28 is: 240,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,253.92 : 364,973.20 = 174,013.28 : x
  2. Step 2: Convert to fraction form
    264,253.92/364,973.20 = 174,013.28/x
  3. Step 3: Cross multiply
    264,253.92x = 364,973.20 × 174,013.28
  4. Step 4: Simplify right side
    264,253.92x = 63,510,183,644.10
  5. Step 5: Solve for x
    x = 63,510,183,644.10/264,253.92
  6. Step 6: Final answer
    x = 240,337.72

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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.