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Finding the Fourth Proportional to 415,227.36, 572,416.56 and 295,788

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Solution

The fourth proportional to 415,227.36, 572,416.56 and 295,788 is: 407,762.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,227.36 : 572,416.56 = 295,788 : x
  2. Step 2: Convert to fraction form
    415,227.36/572,416.56 = 295,788/x
  3. Step 3: Cross multiply
    415,227.36x = 572,416.56 × 295,788
  4. Step 4: Simplify right side
    415,227.36x = 169,313,949,449.28
  5. Step 5: Solve for x
    x = 169,313,949,449.28/415,227.36
  6. Step 6: Final answer
    x = 407,762.03

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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.