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Finding the Fourth Proportional to 415,254.36, 572,453.82 and 295,815

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Solution

The fourth proportional to 415,254.36, 572,453.82 and 295,815 is: 407,799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,254.36 : 572,453.82 = 295,815 : x
  2. Step 2: Convert to fraction form
    415,254.36/572,453.82 = 295,815/x
  3. Step 3: Cross multiply
    415,254.36x = 572,453.82 × 295,815
  4. Step 4: Simplify right side
    415,254.36x = 169,340,426,763.30
  5. Step 5: Solve for x
    x = 169,340,426,763.30/415,254.36
  6. Step 6: Final answer
    x = 407,799.27

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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.