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Finding the Fourth Proportional to 380,713.22, 571,071.12 and 96,403.64

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Solution

The fourth proportional to 380,713.22, 571,071.12 and 96,403.64 is: 144,605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,713.22 : 571,071.12 = 96,403.64 : x
  2. Step 2: Convert to fraction form
    380,713.22/571,071.12 = 96,403.64/x
  3. Step 3: Cross multiply
    380,713.22x = 571,071.12 × 96,403.64
  4. Step 4: Simplify right side
    380,713.22x = 55,053,333,239.20
  5. Step 5: Solve for x
    x = 55,053,333,239.20/380,713.22
  6. Step 6: Final answer
    x = 144,605.78

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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.