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Finding the Fourth Proportional to 407,854.10, 611,997 and 296,453.72

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Solution

The fourth proportional to 407,854.10, 611,997 and 296,453.72 is: 444,837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,854.10 : 611,997 = 296,453.72 : x
  2. Step 2: Convert to fraction form
    407,854.10/611,997 = 296,453.72/x
  3. Step 3: Cross multiply
    407,854.10x = 611,997 × 296,453.72
  4. Step 4: Simplify right side
    407,854.10x = 181,428,787,278.84
  5. Step 5: Solve for x
    x = 181,428,787,278.84/407,854.10
  6. Step 6: Final answer
    x = 444,837.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.