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Finding the Fourth Proportional to 380,397.66, 524,942.36 and 210,628.14

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Solution

The fourth proportional to 380,397.66, 524,942.36 and 210,628.14 is: 290,663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,397.66 : 524,942.36 = 210,628.14 : x
  2. Step 2: Convert to fraction form
    380,397.66/524,942.36 = 210,628.14/x
  3. Step 3: Cross multiply
    380,397.66x = 524,942.36 × 210,628.14
  4. Step 4: Simplify right side
    380,397.66x = 110,567,632,894.01
  5. Step 5: Solve for x
    x = 110,567,632,894.01/380,397.66
  6. Step 6: Final answer
    x = 290,663.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.