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Finding the Fourth Proportional to 417,025.39, 575,443.52 and 296,122.56

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Solution

The fourth proportional to 417,025.39, 575,443.52 and 296,122.56 is: 408,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,025.39 : 575,443.52 = 296,122.56 : x
  2. Step 2: Convert to fraction form
    417,025.39/575,443.52 = 296,122.56/x
  3. Step 3: Cross multiply
    417,025.39x = 575,443.52 × 296,122.56
  4. Step 4: Simplify right side
    417,025.39x = 170,401,807,907.66
  5. Step 5: Solve for x
    x = 170,401,807,907.66/417,025.39
  6. Step 6: Final answer
    x = 408,612.55

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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.