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Finding the Fourth Proportional to 253,603.64, 380,263.20 and 173,731.82

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Solution

The fourth proportional to 253,603.64, 380,263.20 and 173,731.82 is: 260,500.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,603.64 : 380,263.20 = 173,731.82 : x
  2. Step 2: Convert to fraction form
    253,603.64/380,263.20 = 173,731.82/x
  3. Step 3: Cross multiply
    253,603.64x = 380,263.20 × 173,731.82
  4. Step 4: Simplify right side
    253,603.64x = 66,063,817,815.02
  5. Step 5: Solve for x
    x = 66,063,817,815.02/253,603.64
  6. Step 6: Final answer
    x = 260,500.27

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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.