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Finding the Fourth Proportional to 380,526.56, 525,135.14 and 217,179.79

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Solution

The fourth proportional to 380,526.56, 525,135.14 and 217,179.79 is: 299,712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,526.56 : 525,135.14 = 217,179.79 : x
  2. Step 2: Convert to fraction form
    380,526.56/525,135.14 = 217,179.79/x
  3. Step 3: Cross multiply
    380,526.56x = 525,135.14 × 217,179.79
  4. Step 4: Simplify right side
    380,526.56x = 114,048,742,018.03
  5. Step 5: Solve for x
    x = 114,048,742,018.03/380,526.56
  6. Step 6: Final answer
    x = 299,712.96

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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.