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Finding the Fourth Proportional to 380,744.67, 525,430.76 and 210,981.63

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Solution

The fourth proportional to 380,744.67, 525,430.76 and 210,981.63 is: 291,156.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,744.67 : 525,430.76 = 210,981.63 : x
  2. Step 2: Convert to fraction form
    380,744.67/525,430.76 = 210,981.63/x
  3. Step 3: Cross multiply
    380,744.67x = 525,430.76 × 210,981.63
  4. Step 4: Simplify right side
    380,744.67x = 110,856,237,142.03
  5. Step 5: Solve for x
    x = 110,856,237,142.03/380,744.67
  6. Step 6: Final answer
    x = 291,156.37

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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.