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Finding the Fourth Proportional to 777,028.02, 1,072,348.20 and 471,133.68

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Solution

The fourth proportional to 777,028.02, 1,072,348.20 and 471,133.68 is: 650,194.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,028.02 : 1,072,348.20 = 471,133.68 : x
  2. Step 2: Convert to fraction form
    777,028.02/1,072,348.20 = 471,133.68/x
  3. Step 3: Cross multiply
    777,028.02x = 1,072,348.20 × 471,133.68
  4. Step 4: Simplify right side
    777,028.02x = 505,219,353,707.38
  5. Step 5: Solve for x
    x = 505,219,353,707.38/777,028.02
  6. Step 6: Final answer
    x = 650,194.51

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Why These Related Problems?

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