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Finding the Fourth Proportional to 380,429.34, 525,008.30 and 210,663.47

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Solution

The fourth proportional to 380,429.34, 525,008.30 and 210,663.47 is: 290,724.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,429.34 : 525,008.30 = 210,663.47 : x
  2. Step 2: Convert to fraction form
    380,429.34/525,008.30 = 210,663.47/x
  3. Step 3: Cross multiply
    380,429.34x = 525,008.30 × 210,663.47
  4. Step 4: Simplify right side
    380,429.34x = 110,600,066,578.44
  5. Step 5: Solve for x
    x = 110,600,066,578.44/380,429.34
  6. Step 6: Final answer
    x = 290,724.33

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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.