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Finding the Fourth Proportional to 380,663.40, 525,301.56 and 219,525.24

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Solution

The fourth proportional to 380,663.40, 525,301.56 and 219,525.24 is: 302,936.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,663.40 : 525,301.56 = 219,525.24 : x
  2. Step 2: Convert to fraction form
    380,663.40/525,301.56 = 219,525.24/x
  3. Step 3: Cross multiply
    380,663.40x = 525,301.56 × 219,525.24
  4. Step 4: Simplify right side
    380,663.40x = 115,316,951,031.37
  5. Step 5: Solve for x
    x = 115,316,951,031.37/380,663.40
  6. Step 6: Final answer
    x = 302,936.80

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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.