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Finding the Fourth Proportional to 499,107.06, 689,100.29 and 295,223.47

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Solution

The fourth proportional to 499,107.06, 689,100.29 and 295,223.47 is: 407,605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,107.06 : 689,100.29 = 295,223.47 : x
  2. Step 2: Convert to fraction form
    499,107.06/689,100.29 = 295,223.47/x
  3. Step 3: Cross multiply
    499,107.06x = 689,100.29 × 295,223.47
  4. Step 4: Simplify right side
    499,107.06x = 203,438,580,645.06
  5. Step 5: Solve for x
    x = 203,438,580,645.06/499,107.06
  6. Step 6: Final answer
    x = 407,605.10

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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.