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Finding the Fourth Proportional to 286,473.76, 429,733.68 and 96,932.32

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Solution

The fourth proportional to 286,473.76, 429,733.68 and 96,932.32 is: 145,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,473.76 : 429,733.68 = 96,932.32 : x
  2. Step 2: Convert to fraction form
    286,473.76/429,733.68 = 96,932.32/x
  3. Step 3: Cross multiply
    286,473.76x = 429,733.68 × 96,932.32
  4. Step 4: Simplify right side
    286,473.76x = 41,655,082,584.54
  5. Step 5: Solve for x
    x = 41,655,082,584.54/286,473.76
  6. Step 6: Final answer
    x = 145,406.28

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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.